CINXE.COM

<!DOCTYPE html> <html lang="en" dir="ltr"> <head>  <script async src="https://www.googletagmanager.com/gtag/js?id=G-P63WKM1TM1"></script> <script> window.dataLayer = window.dataLayer || []; function gtag(){dataLayer.push(arguments);} gtag('js', new Date()); gtag('config', 'G-P63WKM1TM1'); </script>  <script type="text/javascript" > (function(m,e,t,r,i,k,a){m[i]=m[i]||function(){(m[i].a=m[i].a||[]).push(arguments)}; m[i].l=1*new Date(); for (var j = 0; j < document.scripts.length; j++) {if (document.scripts[j].src === r) { return; }} k=e.createElement(t),a=e.getElementsByTagName(t)[0],k.async=1,k.src=r,a.parentNode.insertBefore(k,a)}) (window, document, "script", "https://mc.yandex.ru/metrika/tag.js", "ym"); ym(55165297, "init", { clickmap:false, trackLinks:true, accurateTrackBounce:true, webvisor:false }); </script> <noscript><div><img src="https://mc.yandex.ru/watch/55165297" style="position:absolute; left:-9999px;" alt="" /></div></noscript>    <title>Search results for: operator in Hilbert spaces</title> <meta name="description" content="Search results for: operator in Hilbert spaces"> <meta name="keywords" content="operator in Hilbert spaces"> <meta name="viewport" content="width=device-width, initial-scale=1, minimum-scale=1, maximum-scale=1, user-scalable=no"> <meta charset="utf-8"> <link href="https://cdn.waset.org/favicon.ico" type="image/x-icon" rel="shortcut icon"> <link href="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/css/bootstrap.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/plugins/fontawesome/css/all.min.css" rel="stylesheet"> <link href="https://cdn.waset.org/static/css/site.css?v=150220211555" rel="stylesheet"> </head> <body> <header> <div class="container"> <nav class="navbar navbar-expand-lg navbar-light"> <a class="navbar-brand" href="https://waset.org"> <img src="https://cdn.waset.org/static/images/wasetc.png" alt="Open Science Research Excellence" title="Open Science Research Excellence" /> </a> <button class="d-block d-lg-none navbar-toggler ml-auto" type="button" data-toggle="collapse" data-target="#navbarMenu" aria-controls="navbarMenu" aria-expanded="false" aria-label="Toggle navigation"> <span class="navbar-toggler-icon"></span> </button> <div class="w-100"> <div class="d-none d-lg-flex flex-row-reverse"> <form method="get" action="https://waset.org/search" class="form-inline my-2 my-lg-0"> <input class="form-control mr-sm-2" type="search" placeholder="Search Conferences" value="operator in Hilbert spaces" name="q" aria-label="Search"> <button class="btn btn-light my-2 my-sm-0" type="submit"><i class="fas fa-search"></i></button> </form> </div> <div class="collapse navbar-collapse mt-1" id="navbarMenu"> <ul class="navbar-nav ml-auto align-items-center" id="mainNavMenu"> <li class="nav-item"> <a class="nav-link" href="https://waset.org/conferences" title="Conferences in 2024/2025/2026">Conferences</a> </li> <li class="nav-item"> <a class="nav-link" href="https://waset.org/disciplines" title="Disciplines">Disciplines</a> </li> <li class="nav-item"> <a class="nav-link" href="https://waset.org/committees" rel="nofollow">Committees</a> </li> <li class="nav-item dropdown"> <a class="nav-link dropdown-toggle" href="#" id="navbarDropdownPublications" role="button" data-toggle="dropdown" aria-haspopup="true" aria-expanded="false"> Publications </a> <div class="dropdown-menu" aria-labelledby="navbarDropdownPublications"> <a class="dropdown-item" href="https://publications.waset.org/abstracts">Abstracts</a> <a class="dropdown-item" href="https://publications.waset.org">Periodicals</a> <a class="dropdown-item" href="https://publications.waset.org/archive">Archive</a> </div> </li> <li class="nav-item"> <a class="nav-link" href="https://waset.org/page/support" title="Support">Support</a> </li> </ul> </div> </div> </nav> </div> </header> <main> <div class="container mt-4"> <div class="row"> <div class="col-md-9 mx-auto"> <form method="get" action="https://publications.waset.org/abstracts/search"> <div id="custom-search-input"> <div class="input-group"> <i class="fas fa-search"></i> <input type="text" class="search-query" name="q" placeholder="Author, Title, Abstract, Keywords" value="operator in Hilbert spaces"> <input type="submit" class="btn_search" value="Search"> </div> </div> </form> </div> </div> <div class="row mt-3"> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Commenced</strong> in January 2007</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Frequency:</strong> Monthly</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Edition:</strong> International</div> </div> </div> <div class="col-sm-3"> <div class="card"> <div class="card-body"><strong>Paper Count:</strong> 1635</div> </div> </div> </div> <h1 class="mt-3 mb-3 text-center" style="font-size:1.6rem;">Search results for: operator in Hilbert spaces</h1> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1635</span> Heinz-Type Inequalities in Hilbert Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jin%20Liang">Jin Liang</a>, <a href="https://publications.waset.org/abstracts/search?q=Guanghua%20Shi"> Guanghua Shi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we are concerned with the further refinements of the Heinz operator inequalities in Hilbert spaces. Our purpose is to derive several new Heinz-type operator inequalities. First, with the help of the Taylor series of some hyperbolic functions, we obtain some refinements of the ordering relations among Heinz means defined by Bhatia with different parameters, which would be more suitable in obtaining the corresponding operator inequalities. Second, we present some generalizations of Heinz operator inequalities. Finally, we give a matrix version of the Heinz inequality for the Hilbert-Schmidt norm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hilbert%20space" title="Hilbert space">Hilbert space</a>, <a href="https://publications.waset.org/abstracts/search?q=means%20inequality" title=" means inequality"> means inequality</a>, <a href="https://publications.waset.org/abstracts/search?q=norm%20inequality" title=" norm inequality"> norm inequality</a>, <a href="https://publications.waset.org/abstracts/search?q=positive%20linear%20operator" title=" positive linear operator"> positive linear operator</a> </p> <a href="https://publications.waset.org/abstracts/54127/heinz-type-inequalities-in-hilbert-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54127.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">270</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1634</span> Non Commutative Lᵖ Spaces as Hilbert Modules</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Salvatore%20Triolo">Salvatore Triolo</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We discuss the possibility of extending the well-known Gelfand-Naimark-Segal representation to modules over a C*algebra. We focus our attention on the case of Hilbert modules. We consider, in particular, the problem of the existence of a faithful representation. Non-commutative Lᵖ-spaces are shown to constitute examples of a class of CQ*-algebras. Finally, we have shown that any semisimple proper CQ*-algebra (X, A#), with A# a W*-algebra can be represented as a CQ*-algebra of measurable operators in Segal’s sense. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Gelfand-Naimark-Segal%20representation" title="Gelfand-Naimark-Segal representation">Gelfand-Naimark-Segal representation</a>, <a href="https://publications.waset.org/abstracts/search?q=CQ%2A-algebras" title=" CQ*-algebras"> CQ*-algebras</a>, <a href="https://publications.waset.org/abstracts/search?q=faithful%20representation" title=" faithful representation"> faithful representation</a>, <a href="https://publications.waset.org/abstracts/search?q=non-commutative%20L%E1%B5%96-spaces" title=" non-commutative Lᵖ-spaces"> non-commutative Lᵖ-spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces" title=" operator in Hilbert spaces"> operator in Hilbert spaces</a> </p> <a href="https://publications.waset.org/abstracts/142662/non-commutative-l-spaces-as-hilbert-modules" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/142662.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">248</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1633</span> Split Monotone Inclusion and Fixed Point Problems in Real Hilbert Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Francis%20O.%20Nwawuru">Francis O. Nwawuru</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The convergence analysis of split monotone inclusion problems and fixed point problems of certain nonlinear mappings are investigated in the setting of real Hilbert spaces. Inertial extrapolation term in the spirit of Polyak is incorporated to speed up the rate of convergence. Under standard assumptions, a strong convergence of the proposed algorithm is established without computing the resolvent operator or involving Yosida approximation method. The stepsize involved in the algorithm does not depend on the spectral radius of the linear operator. Furthermore, applications of the proposed algorithm in solving some related optimization problems are also considered. Our result complements and extends numerous results in the literature. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fixedpoint" title="fixedpoint">fixedpoint</a>, <a href="https://publications.waset.org/abstracts/search?q=hilbertspace" title=" hilbertspace"> hilbertspace</a>, <a href="https://publications.waset.org/abstracts/search?q=monotonemapping" title=" monotonemapping"> monotonemapping</a>, <a href="https://publications.waset.org/abstracts/search?q=resolventoperators" title=" resolventoperators"> resolventoperators</a> </p> <a href="https://publications.waset.org/abstracts/183967/split-monotone-inclusion-and-fixed-point-problems-in-real-hilbert-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/183967.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">52</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1632</span> A General Approach to Define Adjoint of Linear and Non-linear Operators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mehdi%20Jafari%20Matehkolaee">Mehdi Jafari Matehkolaee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, we have obtained the adjoint of an arbitrary operator (linear and nonlinear) in Hilbert space by introducing an n-dimensional Riemannian manifold. This general formalism covers every linear operator (non – differential) in Hilbert space. In fact, our approach shows that instead of using the adjoint definition of an operator directly, it can be obtained directly by relying on a suitable generalized space according to the action of the operator in question. For the case of nonlinear operators, we have to change the definition of the linear operator adjoint. But here, we have obtained an adjoint of these operators with respect to the definition of the derivative of the operator. As a matter of fact, we have shown one of the straight applications of the ''Frechet derivative'' in the algebra of the operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=adjoint%20operator" title="adjoint operator">adjoint operator</a>, <a href="https://publications.waset.org/abstracts/search?q=non-linear%20operator" title=" non-linear operator"> non-linear operator</a>, <a href="https://publications.waset.org/abstracts/search?q=differentiable%20operator" title=" differentiable operator"> differentiable operator</a>, <a href="https://publications.waset.org/abstracts/search?q=manifold" title=" manifold"> manifold</a> </p> <a href="https://publications.waset.org/abstracts/166456/a-general-approach-to-define-adjoint-of-linear-and-non-linear-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/166456.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">119</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1631</span> Every g-Riesz Basis is a Riesz Basis</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mehdi%20Rashidi-Kouchi">Mehdi Rashidi-Kouchi</a>, <a href="https://publications.waset.org/abstracts/search?q=Asghar%20Rahimi"> Asghar Rahimi</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Sun introduced a generalization of frames and showed that this includes more other cases of generalizations of frame concept and proved that many basic properties can be derived within this more general context. Another generalization of frames is frames in Hilbert C*-module. It has been proved that every g-frame in Hilbert space H respect to Hilbert space K is a frame for B(H;K) as Hilbert C*-module. We show that every g-Riesz basis for Hilbert space H respect to K by add a condition is a Riesz basis for Hilbert B(K)-module B(H;K). Also, we investigate similar result for g-orthonormal and orthogonal bases. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=frame" title="frame">frame</a>, <a href="https://publications.waset.org/abstracts/search?q=g-frame" title=" g-frame"> g-frame</a>, <a href="https://publications.waset.org/abstracts/search?q=Riesz%20basis" title=" Riesz basis"> Riesz basis</a>, <a href="https://publications.waset.org/abstracts/search?q=g-Riesz%20basis" title=" g-Riesz basis"> g-Riesz basis</a>, <a href="https://publications.waset.org/abstracts/search?q=Hilbert%20C%2A-module" title=" Hilbert C*-module"> Hilbert C*-module</a> </p> <a href="https://publications.waset.org/abstracts/17888/every-g-riesz-basis-is-a-riesz-basis" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/17888.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">472</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1630</span> Powers of Class p-w A (s, t) Operators Associated with Generalized Aluthge Transformations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Husein%20Mohammed%20Rashid">Mohammed Husein Mohammed Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Let Τ = U |Τ| be a polar decomposition of a bounded linear operator T on a complex Hilbert space with ker U = ker |T|. T is said to be class p-w A(s,t) if (|T*|ᵗ|T|²ˢ|T*|ᵗ )ᵗᵖ/ˢ⁺ᵗ ≥|T*|²ᵗᵖ and |T|²ˢᵖ ≥ (|T|ˢ|T*|²ᵗ|T|ˢ)ˢᵖ/ˢ⁺ᵗ with 0<p≤1 and 0<s,t,s + t≤1. This is a generalization of p-hyponormal or class A operators. In this paper, we shall show that if T belongs to class p-w A (s, t) operator for 0<s,t≤1 and 0<p≤1, then Tⁿ belongs to class p₁-w A (s/n, t/n) for 0<p₁≤p and for all positive integer n. As an immediate corollary of this result, we shall also show that if T is a p-w-hyponormal operator, then Tⁿ is also p₁-w-hyponormal for 0<p₁≤p and for all positive integer n. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=class%20p-w%20A%20%28s" title="class p-w A (s">class p-w A (s</a>, <a href="https://publications.waset.org/abstracts/search?q=t%29" title=" t)"> t)</a>, <a href="https://publications.waset.org/abstracts/search?q=normaloid" title=" normaloid"> normaloid</a>, <a href="https://publications.waset.org/abstracts/search?q=isoloid" title=" isoloid"> isoloid</a>, <a href="https://publications.waset.org/abstracts/search?q=finite" title=" finite"> finite</a>, <a href="https://publications.waset.org/abstracts/search?q=orthogonality" title=" orthogonality"> orthogonality</a> </p> <a href="https://publications.waset.org/abstracts/158688/powers-of-class-p-w-a-s-t-operators-associated-with-generalized-aluthge-transformations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/158688.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">117</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1629</span> On the System of Split Equilibrium and Fixed Point Problems in Real Hilbert Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Francis%20O.%20Nwawuru">Francis O. Nwawuru</a>, <a href="https://publications.waset.org/abstracts/search?q=Jeremiah%20N.%20Ezeora"> Jeremiah N. Ezeora</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a new algorithm for solving the system of split equilibrium and fixed point problems in real Hilbert spaces is considered. The equilibrium bifunction involves a nite family of pseudo-monotone mappings, which is an improvement over monotone operators. More so, it turns out that the solution of the finite family of nonexpansive mappings. The regularized parameters do not depend on Lipschitz constants. Also, the computations of the stepsize, which plays a crucial role in the convergence analysis of the proposed method, do require prior knowledge of the norm of the involved bounded linear map. Furthermore, to speed up the rate of convergence, an inertial term technique is introduced in the proposed method. Under standard assumptions on the operators and the control sequences, using a modified Halpern iteration method, we establish strong convergence, a desired result in applications. Finally, the proposed scheme is applied to solve some optimization problems. The result obtained improves numerous results announced earlier in this direction. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=equilibrium" title="equilibrium">equilibrium</a>, <a href="https://publications.waset.org/abstracts/search?q=Hilbert%20spaces" title=" Hilbert spaces"> Hilbert spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed%20point" title=" fixed point"> fixed point</a>, <a href="https://publications.waset.org/abstracts/search?q=nonexpansive%20mapping" title=" nonexpansive mapping"> nonexpansive mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=extragradient%20method" title=" extragradient method"> extragradient method</a>, <a href="https://publications.waset.org/abstracts/search?q=regularized%20equilibrium" title=" regularized equilibrium"> regularized equilibrium</a> </p> <a href="https://publications.waset.org/abstracts/184412/on-the-system-of-split-equilibrium-and-fixed-point-problems-in-real-hilbert-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/184412.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">48</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1628</span> Fuglede-Putnam Theorem for ∗-Class A Operators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Mohammed%20Husein%20Mohammad%20Rashid">Mohammed Husein Mohammad Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> For a bounded linear operator T acting on a complex inﬁnite dimensional Hilbert space ℋ, we say that T is ∗-class A operator (abbreviation T∈A*) if |T²|≥ |T*|². In this article, we prove the following assertions:(i) we establish some conditions which imply the normality of ∗-class A; (ii) we consider ∗-class A operator T ∈ ℬ(ℋ) with reducing kernel such that TX = XS for some X ∈ ℬ(K, ℋ) and prove the Fuglede-Putnam type theorem when adjoint of S ∈ ℬ(K) is dominant operators; (iii) furthermore, we extend the asymmetric Putnam-Fuglede theorem the class of ∗-class A operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=fuglede-putnam%20theorem" title="fuglede-putnam theorem">fuglede-putnam theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=normal%20operators" title=" normal operators"> normal operators</a>, <a href="https://publications.waset.org/abstracts/search?q=%E2%88%97-class%20a%20operators" title=" ∗-class a operators"> ∗-class a operators</a>, <a href="https://publications.waset.org/abstracts/search?q=dominant%20operators" title=" dominant operators"> dominant operators</a> </p> <a href="https://publications.waset.org/abstracts/159132/fuglede-putnam-theorem-for-class-a-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/159132.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">88</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1627</span> Construction of Finite Woven Frames through Bounded Linear Operators</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=A.%20Bhandari">A. Bhandari</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20Mukherjee"> S. Mukherjee</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Two frames in a Hilbert space are called woven or weaving if all possible merge combinations between them generate frames of the Hilbert space with uniform frame bounds. Weaving frames are powerful tools in wireless sensor networks which require distributed data processing. Considering the practical applications, this article deals with finite woven frames. We provide methods of constructing finite woven frames, in particular, bounded linear operators are used to construct woven frames from a given frame. Several examples are discussed. We also introduce the notion of woven frame sequences and characterize them through the concepts of gaps and angles between spaces. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=frames" title="frames">frames</a>, <a href="https://publications.waset.org/abstracts/search?q=woven%20frames" title=" woven frames"> woven frames</a>, <a href="https://publications.waset.org/abstracts/search?q=gap" title=" gap"> gap</a>, <a href="https://publications.waset.org/abstracts/search?q=angle" title=" angle"> angle</a> </p> <a href="https://publications.waset.org/abstracts/100698/construction-of-finite-woven-frames-through-bounded-linear-operators" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/100698.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">193</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1626</span> Approximation to the Hardy Operator on Topological Measure Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Kairat%20T.%20Mynbaev">Kairat T. Mynbaev</a>, <a href="https://publications.waset.org/abstracts/search?q=Elena%20N.%20Lomakina"> Elena N. Lomakina</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We consider a Hardy-type operator generated by a family of open subsets of a Hausdorff topological space. The family is indexed with non-negative real numbers and is totally ordered. For this operator, we obtain two-sided bounds of its norm, a compactness criterion, and bounds for its approximation numbers. Previously, bounds for its approximation numbers have been established only in the one-dimensional case, while we do not impose any restrictions on the dimension of the Hausdorff space. The bounds for the norm and conditions for compactness earlier have been found using different methods by G. Sinnamon and K. Mynbaev. Our approach is different in that we use domain partitions for all problems under consideration. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=approximation%20numbers" title="approximation numbers">approximation numbers</a>, <a href="https://publications.waset.org/abstracts/search?q=boundedness%20and%20compactness" title=" boundedness and compactness"> boundedness and compactness</a>, <a href="https://publications.waset.org/abstracts/search?q=multidimensional%20Hardy%20operator" title=" multidimensional Hardy operator"> multidimensional Hardy operator</a>, <a href="https://publications.waset.org/abstracts/search?q=Hausdorff%20topological%20space" title=" Hausdorff topological space"> Hausdorff topological space</a> </p> <a href="https://publications.waset.org/abstracts/170957/approximation-to-the-hardy-operator-on-topological-measure-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/170957.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">104</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1625</span> A Study of Evolutional Control Systems</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Ti-Jun%20Xiao">Ti-Jun Xiao</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhe%20Xu"> Zhe Xu</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Controllability is one of the fundamental issues in control systems. In this paper, we study the controllability of second order evolutional control systems in Hilbert spaces with memory and boundary controls, which model dynamic behaviors of some viscoelastic materials. Transferring the control problem into a moment problem and showing the Riesz property of a family of functions related to Cauchy problems for some integrodifferential equations, we obtain a general boundary controllability theorem for these second order evolutional control systems. This controllability theorem is applicable to various concrete 1D viscoelastic systems and recovers some previous related results. It is worth noting that Riesz sequences can be used for numerical computations of the control functions and the identification of new Riesz sequence is of independent interest for the basis-function theory. Moreover, using the Riesz sequences, we obtain the existence and uniqueness of (weak) solutions to these second order evolutional control systems in Hilbert spaces. Finally, we derive the exact boundary controllability of a viscoelastic beam equation, as an application of our abstract theorem. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=evolutional%20control%20system" title="evolutional control system">evolutional control system</a>, <a href="https://publications.waset.org/abstracts/search?q=controllability" title=" controllability"> controllability</a>, <a href="https://publications.waset.org/abstracts/search?q=boundary%20control" title=" boundary control"> boundary control</a>, <a href="https://publications.waset.org/abstracts/search?q=existence%20and%20uniqueness" title=" existence and uniqueness"> existence and uniqueness</a> </p> <a href="https://publications.waset.org/abstracts/93935/a-study-of-evolutional-control-systems" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/93935.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">222</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1624</span> Algorithms for Computing of Optimization Problems with a Common Minimum-Norm Fixed Point with Applications</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Apirak%20Sombat">Apirak Sombat</a>, <a href="https://publications.waset.org/abstracts/search?q=Teerapol%20Saleewong"> Teerapol Saleewong</a>, <a href="https://publications.waset.org/abstracts/search?q=Poom%20Kumam"> Poom Kumam</a>, <a href="https://publications.waset.org/abstracts/search?q=Parin%20Chaipunya"> Parin Chaipunya</a>, <a href="https://publications.waset.org/abstracts/search?q=Wiyada%20Kumam"> Wiyada Kumam</a>, <a href="https://publications.waset.org/abstracts/search?q=Anantachai%20Padcharoen"> Anantachai Padcharoen</a>, <a href="https://publications.waset.org/abstracts/search?q=Yeol%20Je%20Cho"> Yeol Je Cho</a>, <a href="https://publications.waset.org/abstracts/search?q=Thana%20Sutthibutpong"> Thana Sutthibutpong</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research is aimed to study a two-step iteration process defined over a finite family of σ-asymptotically quasi-nonexpansive nonself-mappings. The strong convergence is guaranteed under the framework of Banach spaces with some additional structural properties including strict and uniform convexity, reflexivity, and smoothness assumptions. With similar projection technique for nonself-mapping in Hilbert spaces, we hereby use the generalized projection to construct a point within the corresponding domain. Moreover, we have to introduce the use of duality mapping and its inverse to overcome the unavailability of duality representation that is exploit by Hilbert space theorists. We then apply our results for σ-asymptotically quasi-nonexpansive nonself-mappings to solve for ideal efficiency of vector optimization problems composed of finitely many objective functions. We also showed that the obtained solution from our process is the closest to the origin. Moreover, we also give an illustrative numerical example to support our results. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=asymptotically%20quasi-nonexpansive%20nonself-mapping" title="asymptotically quasi-nonexpansive nonself-mapping">asymptotically quasi-nonexpansive nonself-mapping</a>, <a href="https://publications.waset.org/abstracts/search?q=strong%20convergence" title=" strong convergence"> strong convergence</a>, <a href="https://publications.waset.org/abstracts/search?q=fixed%20point" title=" fixed point"> fixed point</a>, <a href="https://publications.waset.org/abstracts/search?q=uniformly%20convex%20and%20uniformly%20smooth%20Banach%20space" title=" uniformly convex and uniformly smooth Banach space"> uniformly convex and uniformly smooth Banach space</a> </p> <a href="https://publications.waset.org/abstracts/58622/algorithms-for-computing-of-optimization-problems-with-a-common-minimum-norm-fixed-point-with-applications" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/58622.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">260</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1623</span> Proximal Method of Solving Split System of Minimization Problem</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Anteneh%20Getachew%20Gebrie">Anteneh Getachew Gebrie</a>, <a href="https://publications.waset.org/abstracts/search?q=Rabian%20Wangkeeree"> Rabian Wangkeeree</a> </p> <p class="card-text"><strong>Abstract:</strong></p> The purpose of this paper is to introduce iterative algorithm solving split system of minimization problem given as a task of ﬁnding a common minimizer point of ﬁnite family of proper, lower semicontinuous convex functions and whose image under a bounded linear operator is also common minimizer point of another ﬁnite family of proper, lower semicontinuous convex functions. We obtain strong convergence of the sequence generated by our algorithm under some suitable conditions on the parameters. The iterative schemes are developed with a way of selecting the step sizes such that the information of operator norm is not necessary. Some applications and numerical experiment is given to analyse the eﬃciency of our algorithm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Hilbert%20Space" title="Hilbert Space">Hilbert Space</a>, <a href="https://publications.waset.org/abstracts/search?q=minimization%20problems" title=" minimization problems"> minimization problems</a>, <a href="https://publications.waset.org/abstracts/search?q=Moreau-Yosida%20approximate" title=" Moreau-Yosida approximate"> Moreau-Yosida approximate</a>, <a href="https://publications.waset.org/abstracts/search?q=split%20feasibility%20problem" title=" split feasibility problem"> split feasibility problem</a> </p> <a href="https://publications.waset.org/abstracts/119147/proximal-method-of-solving-split-system-of-minimization-problem" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/119147.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">144</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1622</span> Weyl Type Theorem and the Fuglede Property</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20H.%20M.%20Rashid">M. H. M. Rashid</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Given H a Hilbert space and B(H) the algebra of bounded linear operator in H, let δAB denote the generalized derivation defined by A and B. The main objective of this article is to study Weyl type theorems for generalized derivation for (A,B) satisfying a couple of Fuglede. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Fuglede%20Property" title="Fuglede Property">Fuglede Property</a>, <a href="https://publications.waset.org/abstracts/search?q=Weyl%E2%80%99s%20theorem" title=" Weyl’s theorem"> Weyl’s theorem</a>, <a href="https://publications.waset.org/abstracts/search?q=generalized%20derivation" title=" generalized derivation"> generalized derivation</a>, <a href="https://publications.waset.org/abstracts/search?q=Aluthge%20transform" title=" Aluthge transform"> Aluthge transform</a> </p> <a href="https://publications.waset.org/abstracts/113531/weyl-type-theorem-and-the-fuglede-property" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/113531.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">128</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1621</span> Operator Efficiency Study for Assembly Line Optimization at Semiconductor Assembly and Test</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rohana%20Abdullah">Rohana Abdullah</a>, <a href="https://publications.waset.org/abstracts/search?q=Md%20Nizam%20Abd%20Rahman"> Md Nizam Abd Rahman</a>, <a href="https://publications.waset.org/abstracts/search?q=Seri%20Rahayu%20Kamat"> Seri Rahayu Kamat</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Operator efficiency aspect is gaining importance in ensuring optimized usage of resources especially in the semi-automated manufacturing environment. This paper addresses a case study done to solve operator efficiency and line balancing issue at a semiconductor assembly and test manufacturing. A Man-to-Machine (M2M) work study technique is used to study operator current utilization and determine the optimum allocation of the operators to the machines. Critical factors such as operator activity, activity frequency and operator competency level are considered to gain insight on the parameters that affects the operator utilization. Equipment standard time and overall equipment efficiency (OEE) information are also gathered and analyzed to achieve a balanced and optimized production. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=operator%20efficiency" title="operator efficiency">operator efficiency</a>, <a href="https://publications.waset.org/abstracts/search?q=optimized%20production" title=" optimized production"> optimized production</a>, <a href="https://publications.waset.org/abstracts/search?q=line%20balancing" title=" line balancing"> line balancing</a>, <a href="https://publications.waset.org/abstracts/search?q=industrial%20and%20manufacturing%20engineering" title=" industrial and manufacturing engineering"> industrial and manufacturing engineering</a> </p> <a href="https://publications.waset.org/abstracts/20930/operator-efficiency-study-for-assembly-line-optimization-at-semiconductor-assembly-and-test" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20930.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">729</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1620</span> Study of Effect of Steering Column Orientation and Operator Platform Position on the Hand Vibration in Compactors</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sunil%20Bandaru">Sunil Bandaru</a>, <a href="https://publications.waset.org/abstracts/search?q=Suresh%20Yv"> Suresh Yv</a>, <a href="https://publications.waset.org/abstracts/search?q=Srinivas%20Vanapalli"> Srinivas Vanapalli</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Heavy machinery especially compactors has more vibrations induced from the compactor mechanism than the engines. Since the operator’s comfort is most important in any of the machines, this paper shows interest in studying the vibrations on the steering wheel for a double drum compactor. As there are no standard procedures available for testing vibrations on the steering wheel of double drum compactors, this paper tries to evaluate the vibrations on the steering wheel by considering most of the possibilities. In addition to the feasibility for the operator to adjust the steering wheel tilt as in the case of automotive, there is an option for the operator to change the orientation of the operator platform for the complete view of the road’s edge on both the ends of the front and rear drums. When the orientation is either +/-180°, the operator will be closer to the compactor mechanism; also there is a possibility for the shuffle in the modes with respect to the operator. Hence it is mandatory to evaluate the vibrations levels in both cases. This paper attempts to evaluate the vibrations on the steering wheel by considering the two operator platform positions and three steering wheel tilting angles. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=FEA" title="FEA">FEA</a>, <a href="https://publications.waset.org/abstracts/search?q=CAE" title=" CAE"> CAE</a>, <a href="https://publications.waset.org/abstracts/search?q=steering%20column" title=" steering column"> steering column</a>, <a href="https://publications.waset.org/abstracts/search?q=steering%20column%20orientation%20position" title=" steering column orientation position"> steering column orientation position</a> </p> <a href="https://publications.waset.org/abstracts/139895/study-of-effect-of-steering-column-orientation-and-operator-platform-position-on-the-hand-vibration-in-compactors" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/139895.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">225</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1619</span> Anisotropic Approach for Discontinuity Preserving in Optical Flow Estimation</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Pushpendra%20Kumar">Pushpendra Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=Sanjeev%20Kumar"> Sanjeev Kumar</a>, <a href="https://publications.waset.org/abstracts/search?q=R.%20Balasubramanian"> R. Balasubramanian</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Estimation of optical flow from a sequence of images using variational methods is one of the most successful approach. Discontinuity between different motions is one of the challenging problem in flow estimation. In this paper, we design a new anisotropic diffusion operator, which is able to provide smooth flow over a region and efficiently preserve discontinuity in optical flow. This operator is designed on the basis of intensity differences of the pixels and isotropic operator using exponential function. The combination of these are used to control the propagation of flow. Experimental results on the different datasets verify the robustness and accuracy of the algorithm and also validate the effect of anisotropic operator in the discontinuity preserving. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=optical%20flow" title="optical flow">optical flow</a>, <a href="https://publications.waset.org/abstracts/search?q=variational%20methods" title=" variational methods"> variational methods</a>, <a href="https://publications.waset.org/abstracts/search?q=computer%20vision" title=" computer vision"> computer vision</a>, <a href="https://publications.waset.org/abstracts/search?q=anisotropic%20operator" title=" anisotropic operator"> anisotropic operator</a> </p> <a href="https://publications.waset.org/abstracts/20827/anisotropic-approach-for-discontinuity-preserving-in-optical-flow-estimation" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/20827.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">873</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1618</span> Modified Fractional Curl Operator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Rawhy%20Ismail">Rawhy Ismail </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Applying fractional calculus in the field of electromagnetics shows significant results. The fractionalization of the conventional curl operator leads to having additional solutions to an electromagnetic problem. This work restudies the concept of the fractional curl operator considering fractional time derivatives in Maxwell’s curl equations. In that sense, a general scheme for the wave loss term is introduced and the degree of freedom of the system is affected through imposing the new fractional parameters. The conventional case is recovered by setting all fractional derivatives to unity. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=curl%20operator" title="curl operator">curl operator</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20calculus" title=" fractional calculus"> fractional calculus</a>, <a href="https://publications.waset.org/abstracts/search?q=fractional%20curl%20operators" title=" fractional curl operators"> fractional curl operators</a>, <a href="https://publications.waset.org/abstracts/search?q=Maxwell%20equations" title=" Maxwell equations"> Maxwell equations</a> </p> <a href="https://publications.waset.org/abstracts/35772/modified-fractional-curl-operator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/35772.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">487</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1617</span> Periodicity of Solutions to Impulsive Equations</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jin%20Liang">Jin Liang</a>, <a href="https://publications.waset.org/abstracts/search?q=James%20H.%20Liu"> James H. Liu</a>, <a href="https://publications.waset.org/abstracts/search?q=Ti-Jun%20Xiao"> Ti-Jun Xiao</a> </p> <p class="card-text"><strong>Abstract:</strong></p> It is known that there exist many physical phenomena where abrupt or impulsive changes occur either in the system dynamics, for example, ad-hoc network, or in the input forces containing impacts, for example, the bombardment of space antenna by micrometeorites. There are many other examples such as ultra high-speed optical signals over communication networks, the collision of particles, inventory control, government decisions, interest changes, changes in stock price, etc. These are impulsive phenomena. Hence, as a combination of the traditional initial value problems and the short-term perturbations whose duration can be negligible in comparison with the duration of the process, the systems with impulsive conditions (i.e., impulsive systems) are more realistic models for describing the impulsive phenomenon. Such a situation is also suitable for the delay systems, which include some of the past states of the system. So far, there have been a lot of research results in the study of impulsive systems with delay both in finite and infinite dimensional spaces. In this paper, we investigate the periodicity of solutions to the nonautonomous impulsive evolution equations with infinite delay in Banach spaces, where the coefficient operators (possibly unbounded) in the linear part depend on the time, which are impulsive systems in infinite dimensional spaces and come from the optimal control theory. It was indicated that the study of periodic solutions for these impulsive evolution equations with infinite delay was challenging because the fixed point theorems requiring some compactness conditions are not applicable to them due to the impulsive condition and the infinite delay. We are happy to report that after detailed analysis, we are able to combine the techniques developed in our previous papers, and some new ideas in this paper, to attack these impulsive evolution equations and derive periodic solutions. More specifically, by virtue of the related transition operator family (evolution family), we present a Poincaré operator given by the nonautonomous impulsive evolution system with infinite delay, and then show that the operator is a condensing operator with respect to Kuratowski's measure of non-compactness in a phase space by using an Amann's lemma. Finally, we derive periodic solutions from bounded solutions in view of the Sadovskii fixed point theorem. We also present a relationship between the boundedness and the periodicity of the solutions of the nonautonomous impulsive evolution system. The new results obtained here extend some earlier results in this area for evolution equations without impulsive conditions or without infinite delay. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=impulsive" title="impulsive">impulsive</a>, <a href="https://publications.waset.org/abstracts/search?q=nonautonomous%20evolution%20equation" title=" nonautonomous evolution equation"> nonautonomous evolution equation</a>, <a href="https://publications.waset.org/abstracts/search?q=optimal%20control" title=" optimal control"> optimal control</a>, <a href="https://publications.waset.org/abstracts/search?q=periodic%20solution" title=" periodic solution"> periodic solution</a> </p> <a href="https://publications.waset.org/abstracts/54128/periodicity-of-solutions-to-impulsive-equations" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/54128.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">252</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1616</span> A Sliding Model Control for a Hybrid Hyperbolic Dynamic System</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Xuezhang%20Hou">Xuezhang Hou</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In the present paper, a hybrid hyperbolic dynamic system formulated by partial differential equations with initial and boundary conditions is considered. First, the system is transformed to an abstract evolution system in an appropriate Hilbert space, and spectral analysis and semigroup generation of the system operator is discussed. Subsequently, a sliding model control problem is proposed and investigated, and an equivalent control method is introduced and applied to the system. Finally, a significant result that the state of the system can be approximated by an ideal sliding mode under control in any accuracy is derived and examined. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=hyperbolic%20dynamic%20system" title="hyperbolic dynamic system">hyperbolic dynamic system</a>, <a href="https://publications.waset.org/abstracts/search?q=sliding%20model%20control" title=" sliding model control"> sliding model control</a>, <a href="https://publications.waset.org/abstracts/search?q=semigroup%20of%20linear%20operators" title=" semigroup of linear operators"> semigroup of linear operators</a>, <a href="https://publications.waset.org/abstracts/search?q=partial%20differential%20equations" title=" partial differential equations"> partial differential equations</a> </p> <a href="https://publications.waset.org/abstracts/148599/a-sliding-model-control-for-a-hybrid-hyperbolic-dynamic-system" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/148599.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">136</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1615</span> Extension of Positive Linear Operator</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manal%20Azzidani">Manal Azzidani</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This research consideres the extension of special functions called Positive Linear Operators. the bounded linear operator which defined from normed space to Banach space will extend to the closure of the its domain, And extend identified linear functional on a vector subspace by Hana-Banach theorem which could be generalized to the positive linear operators. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=extension" title="extension">extension</a>, <a href="https://publications.waset.org/abstracts/search?q=positive%20operator" title=" positive operator"> positive operator</a>, <a href="https://publications.waset.org/abstracts/search?q=Riesz%20space" title=" Riesz space"> Riesz space</a>, <a href="https://publications.waset.org/abstracts/search?q=sublinear%20function" title=" sublinear function"> sublinear function</a> </p> <a href="https://publications.waset.org/abstracts/33220/extension-of-positive-linear-operator" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/33220.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">517</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1614</span> Possibilistic Aggregations in the Investment Decision Making</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=I.%20Khutsishvili">I. Khutsishvili</a>, <a href="https://publications.waset.org/abstracts/search?q=G.%20Sirbiladze"> G. Sirbiladze</a>, <a href="https://publications.waset.org/abstracts/search?q=B.%20Ghvaberidze"> B. Ghvaberidze</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This work proposes a fuzzy methodology to support the investment decisions. While choosing among competitive investment projects, the methodology makes ranking of projects using the new aggregation OWA operator – AsPOWA, presented in the environment of possibility uncertainty. For numerical evaluation of the weighting vector associated with the AsPOWA operator the mathematical programming problem is constructed. On the basis of the AsPOWA operator the projects’ group ranking maximum criteria is constructed. The methodology also allows making the most profitable investments into several of the project using the method developed by the authors for discrete possibilistic bicriteria problems. The article provides an example of the investment decision-making that explains the work of the proposed methodology. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=expert%20evaluations" title="expert evaluations">expert evaluations</a>, <a href="https://publications.waset.org/abstracts/search?q=investment%20decision%20making" title=" investment decision making"> investment decision making</a>, <a href="https://publications.waset.org/abstracts/search?q=OWA%20operator" title=" OWA operator"> OWA operator</a>, <a href="https://publications.waset.org/abstracts/search?q=possibility%20uncertainty" title=" possibility uncertainty"> possibility uncertainty</a> </p> <a href="https://publications.waset.org/abstracts/9558/possibilistic-aggregations-in-the-investment-decision-making" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/9558.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">558</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1613</span> A New Aggregation Operator for Trapezoidal Fuzzy Numbers Based On the Geometric Means of the Left and Right Line Slopes </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Manju%20Pandey">Manju Pandey</a>, <a href="https://publications.waset.org/abstracts/search?q=Nilay%20Khare"> Nilay Khare</a>, <a href="https://publications.waset.org/abstracts/search?q=S.%20C.%20Shrivastava"> S. C. Shrivastava</a> </p> <p class="card-text"><strong>Abstract:</strong></p> This paper is the final in a series, which has defined two new classes of aggregation operators for triangular and trapezoidal fuzzy numbers based on the geometrical characteristics of their fuzzy membership functions. In the present paper, a new aggregation operator for trapezoidal fuzzy numbers has been defined. The new operator is based on the geometric mean of the membership lines to the left and right of the maximum possibility interval. The operator is defined and the analytical relationships have been derived. Computation of the aggregate is demonstrated with a numerical example. Corresponding arithmetic and geometric aggregates as well as results from the recent work of the authors on TrFN aggregates have also been computed. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=LR%20fuzzy%20number" title="LR fuzzy number">LR fuzzy number</a>, <a href="https://publications.waset.org/abstracts/search?q=interval%20fuzzy%20number" title=" interval fuzzy number"> interval fuzzy number</a>, <a href="https://publications.waset.org/abstracts/search?q=triangular%20fuzzy%20number" title=" triangular fuzzy number"> triangular fuzzy number</a>, <a href="https://publications.waset.org/abstracts/search?q=trapezoidal%20fuzzy%20number" title=" trapezoidal fuzzy number"> trapezoidal fuzzy number</a>, <a href="https://publications.waset.org/abstracts/search?q=apex%20angle" title=" apex angle"> apex angle</a>, <a href="https://publications.waset.org/abstracts/search?q=left%20apex%20angle" title=" left apex angle"> left apex angle</a>, <a href="https://publications.waset.org/abstracts/search?q=right%20apex%20angle" title=" right apex angle"> right apex angle</a>, <a href="https://publications.waset.org/abstracts/search?q=aggregation%20operator" title=" aggregation operator"> aggregation operator</a>, <a href="https://publications.waset.org/abstracts/search?q=arithmetic%20and%20geometric%20mean" title=" arithmetic and geometric mean"> arithmetic and geometric mean</a> </p> <a href="https://publications.waset.org/abstracts/18890/a-new-aggregation-operator-for-trapezoidal-fuzzy-numbers-based-on-the-geometric-means-of-the-left-and-right-line-slopes" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/18890.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">472</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1612</span> An Improved Many Worlds Quantum Genetic Algorithm</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Li%20Dan">Li Dan</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhao%20Junsuo"> Zhao Junsuo</a>, <a href="https://publications.waset.org/abstracts/search?q=Zhang%20Wenjun"> Zhang Wenjun </a> </p> <p class="card-text"><strong>Abstract:</strong></p> Aiming at the shortcomings of the Quantum Genetic Algorithm such as the multimodal function optimization problems easily falling into the local optimum, and vulnerable to premature convergence due to no closely relationship between individuals, the paper presents an Improved Many Worlds Quantum Genetic Algorithm (IMWQGA). The paper using the concept of Many Worlds; using the derivative way of parallel worlds’ parallel evolution; putting forward the thought which updating the population according to the main body; adopting the transition methods such as parallel transition, backtracking, travel forth. In addition, the algorithm in the paper also proposes the quantum training operator and the combinatorial optimization operator as new operators of quantum genetic algorithm. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=quantum%20genetic%20algorithm" title="quantum genetic algorithm">quantum genetic algorithm</a>, <a href="https://publications.waset.org/abstracts/search?q=many%20worlds" title=" many worlds"> many worlds</a>, <a href="https://publications.waset.org/abstracts/search?q=quantum%20training%20operator" title=" quantum training operator"> quantum training operator</a>, <a href="https://publications.waset.org/abstracts/search?q=combinatorial%20optimization%20operator" title=" combinatorial optimization operator"> combinatorial optimization operator</a> </p> <a href="https://publications.waset.org/abstracts/16842/an-improved-many-worlds-quantum-genetic-algorithm" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/16842.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">744</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1611</span> Inclusivity in Public Spaces through Architecture: A Case of Transgender Community in India</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Sakshi%20Dhruve">Sakshi Dhruve</a>, <a href="https://publications.waset.org/abstracts/search?q=Ar.%20Sarang%20Barbarwar"> Ar. Sarang Barbarwar</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Public spaces are the locus of activity and interaction in any urban area. Such spaces provide identity to cities, towns or neighborhoods and define the people and culture over there. Inclusiveness is one of the core aspects of public or community spaces. With its humongous population and rapidly expanding urban areas, India needs more inclusivity in public spaces to attain true equitable development. The aim of the paper is to discuss the sensitivity of public spaces in India to the transgender community. The study shows how this community was legally included as ‘Third Gender’ in country’s legislation yet lacks social acceptance and security. It shows the challenges and issues faced by them at public spaces. The community was studied on ethnographic basis to understand their culture, lifestyle, requirements, etc. The findings have indicated towards a social stigma from people and insensitivity in designing of civic spaces. The larger objective of the study is also to provide recommendations on the design aspects and interventions in public places to increase their inclusiveness towards the transgender society. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=community%20spaces" title="community spaces">community spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=ethnographic" title=" ethnographic"> ethnographic</a>, <a href="https://publications.waset.org/abstracts/search?q=stigma" title=" stigma"> stigma</a>, <a href="https://publications.waset.org/abstracts/search?q=Third%20Gender%20community" title=" Third Gender community"> Third Gender community</a> </p> <a href="https://publications.waset.org/abstracts/126330/inclusivity-in-public-spaces-through-architecture-a-case-of-transgender-community-in-india" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/126330.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">282</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1610</span> Nonlinear Equations with n-Dimensional Telegraph Operator Iterated K-Times</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Jessada%20Tariboon">Jessada Tariboon</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this article, using distribution kernel, we study the nonlinear equations with n-dimensional telegraph operator iterated k-times. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=telegraph%20operator" title="telegraph operator">telegraph operator</a>, <a href="https://publications.waset.org/abstracts/search?q=elementary%20solution" title=" elementary solution"> elementary solution</a>, <a href="https://publications.waset.org/abstracts/search?q=distribution%20kernel" title=" distribution kernel"> distribution kernel</a>, <a href="https://publications.waset.org/abstracts/search?q=nonlinear%20equations" title=" nonlinear equations"> nonlinear equations</a> </p> <a href="https://publications.waset.org/abstracts/5031/nonlinear-equations-with-n-dimensional-telegraph-operator-iterated-k-times" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/5031.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">489</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1609</span> Digital Control Algorithm Based on Delta-Operator for High-Frequency DC-DC Switching Converters</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Renkai%20Wang">Renkai Wang</a>, <a href="https://publications.waset.org/abstracts/search?q=Tingcun%20Wei"> Tingcun Wei</a> </p> <p class="card-text"><strong>Abstract:</strong></p> In this paper, a digital control algorithm based on delta-operator is presented for high-frequency digitally-controlled DC-DC switching converters. The stability and the controlling accuracy of the DC-DC switching converters are improved by using the digital control algorithm based on delta-operator without increasing the hardware circuit scale. The design method of voltage compensator in delta-domain using PID (Proportion-Integration- Differentiation) control is given in this paper, and the simulation results based on Simulink platform are provided, which have verified the theoretical analysis results very well. It can be concluded that, the presented control algorithm based on delta-operator has better stability and controlling accuracy, and easier hardware implementation than the existed control algorithms based on z-operator, therefore it can be used for the voltage compensator design in high-frequency digitally- controlled DC-DC switching converters. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=digitally-controlled%20DC-DC%20switching%20converter" title="digitally-controlled DC-DC switching converter">digitally-controlled DC-DC switching converter</a>, <a href="https://publications.waset.org/abstracts/search?q=digital%20voltage%20compensator" title=" digital voltage compensator"> digital voltage compensator</a>, <a href="https://publications.waset.org/abstracts/search?q=delta-operator" title=" delta-operator"> delta-operator</a>, <a href="https://publications.waset.org/abstracts/search?q=finite%20word%20length" title=" finite word length"> finite word length</a>, <a href="https://publications.waset.org/abstracts/search?q=stability" title=" stability"> stability</a> </p> <a href="https://publications.waset.org/abstracts/50847/digital-control-algorithm-based-on-delta-operator-for-high-frequency-dc-dc-switching-converters" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/50847.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">412</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1608</span> Algebraic Characterization of Sheaves over Boolean Spaces</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=U.%20M.%20Swamy">U. M. Swamy</a> </p> <p class="card-text"><strong>Abstract:</strong></p> A compact Hausdorff and totally disconnected topological space are known as Boolean space in view of the stone duality between Boolean algebras and such topological spaces. A sheaf over X is a triple (S, p, X) where S and X are topological spaces and p is a local homeomorphism of S onto X (that is, for each element s in S, there exist open sets U and G containing s and p(s) in S and X respectively such that the restriction of p to U is a homeomorphism of U onto G). Here we mainly concern on sheaves over Boolean spaces. From a given sheaf over a Boolean space, we obtain an algebraic structure in such a way that there is a one-to-one correspondence between these algebraic structures and sheaves over Boolean spaces. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=Boolean%20algebra" title="Boolean algebra">Boolean algebra</a>, <a href="https://publications.waset.org/abstracts/search?q=Boolean%20space" title=" Boolean space"> Boolean space</a>, <a href="https://publications.waset.org/abstracts/search?q=sheaf" title=" sheaf"> sheaf</a>, <a href="https://publications.waset.org/abstracts/search?q=stone%20duality" title=" stone duality"> stone duality</a> </p> <a href="https://publications.waset.org/abstracts/124439/algebraic-characterization-of-sheaves-over-boolean-spaces" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/124439.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">349</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1607</span> The Effects of Semi-Public Spaces with Distinctive Functions on the Urban Space Quality</h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=Melike%20Orhan">Melike Orhan</a> </p> <p class="card-text"><strong>Abstract:</strong></p> Along with impetuous physical change, configuration and increase in the density of cities, urban public spaces have started to become a transition area rather than spaces to inhabit. The insufficiency of public spaces, one of the most significant components of a city, where communal life is maintained and the decrease in the quality of urban spaces have led to an increase in the use of semi-public spaces as urban space. Semi-public spaces are those that ensure transition between private and public spaces and can be seen, observed, reached and used by urban-dwellers. Humans are in a constant relation to their surroundings and care for integration as part of their surroundings. Semi-public spaces providing balance for the individual between private spaces (structures) and urban-public spaces make this integration easier. Spaces with a semi-public characteristic serve for a particular neighboring unit and the user (i.e. common use areas in residential spaces and dwellings, common outdoor areas situated between office buildings, and etc.) These spaces, whose density of usage is increased with distinctive functions and activities, gain different attributions according to the characteristics of the urban space they are located in (commercial, residential, touristic, and etc.) and to the functions of the structures with which they are in relation. At the same time, they begin to serve other neighboring units along with an increase in public usage. As a result, the interaction between environment-space-structure-humans changes, which directly affects the urban space quality. The aim of this study is to determine how and depending on what characteristics the public usage density of semi-public spaces change and to put forth the effects of this change on the urban environment it is located in and to designate its role in terms of 'urban space quality'. In conclusion, within the scope of this study, semi-public spaces located in urban spaces with distinctive functions will be explored through examples, and the effects of these spaces with altered public usage and density on urban space and quality of life will be put forward. Accordingly, applicable criteria will be determined by means of semi-public spaces oriented at increasing and sustaining the quality of urban space. <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=semi-public%20spaces" title="semi-public spaces">semi-public spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=urban%20public%20spaces" title=" urban public spaces"> urban public spaces</a>, <a href="https://publications.waset.org/abstracts/search?q=urban%20space%20quality" title=" urban space quality"> urban space quality</a>, <a href="https://publications.waset.org/abstracts/search?q=public%20usage" title=" public usage"> public usage</a> </p> <a href="https://publications.waset.org/abstracts/111371/the-effects-of-semi-public-spaces-with-distinctive-functions-on-the-urban-space-quality" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/111371.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">239</span> </span> </div> </div> <div class="card paper-listing mb-3 mt-3"> <h5 class="card-header" style="font-size:.9rem"><span class="badge badge-info">1606</span> Airy Wave Packet for a Particle in a Time-Dependant Linear Potential </h5> <div class="card-body"> <p class="card-text"><strong>Authors:</strong> <a href="https://publications.waset.org/abstracts/search?q=M.%20Berrehail">M. Berrehail</a>, <a href="https://publications.waset.org/abstracts/search?q=F.%20Benamira"> F. Benamira</a> </p> <p class="card-text"><strong>Abstract:</strong></p> We study the quantum motion of a particle in the presence of a time- dependent linear potential using an operator invariant that is quadratic in p and linear in q within the framework of the Lewis-Riesenfeld invariant, The special invariant operator proposed in this work is demonstrated to be an Hermitian operator which has an Airy wave packet as its Eigenfunction <p class="card-text"><strong>Keywords:</strong> <a href="https://publications.waset.org/abstracts/search?q=airy%20wave%20packet" title="airy wave packet">airy wave packet</a>, <a href="https://publications.waset.org/abstracts/search?q=ivariant" title=" ivariant"> ivariant</a>, <a href="https://publications.waset.org/abstracts/search?q=time-dependent%20linear%20potential" title=" time-dependent linear potential"> time-dependent linear potential</a>, <a href="https://publications.waset.org/abstracts/search?q=unitary%20transformation" title=" unitary transformation"> unitary transformation</a> </p> <a href="https://publications.waset.org/abstracts/31077/airy-wave-packet-for-a-particle-in-a-time-dependant-linear-potential" class="btn btn-primary btn-sm">Procedia</a> <a href="https://publications.waset.org/abstracts/31077.pdf" target="_blank" class="btn btn-primary btn-sm">PDF</a> <span class="bg-info text-light px-1 py-1 float-right rounded"> Downloads <span class="badge badge-light">492</span> </span> </div> </div> <ul class="pagination"> <li class="page-item disabled"><span class="page-link">&lsaquo;</span></li> <li class="page-item active"><span class="page-link">1</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=2">2</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=3">3</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=4">4</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=5">5</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=6">6</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=7">7</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=8">8</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=9">9</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=10">10</a></li> <li class="page-item disabled"><span class="page-link">...</span></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=54">54</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=55">55</a></li> <li class="page-item"><a class="page-link" href="https://publications.waset.org/abstracts/search?q=operator%20in%20Hilbert%20spaces&page=2" rel="next">&rsaquo;</a></li> </ul> </div> </main> <footer> <div id="infolinks" class="pt-3 pb-2"> <div class="container"> <div style="background-color:#f5f5f5;" class="p-3"> <div class="row"> <div class="col-md-2"> <ul class="list-unstyled"> About <li><a href="https://waset.org/page/support">About Us</a></li> <li><a href="https://waset.org/page/support#legal-information">Legal</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/WASET-16th-foundational-anniversary.pdf">WASET celebrates its 16th foundational anniversary</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Account <li><a href="https://waset.org/profile">My Account</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Explore <li><a href="https://waset.org/disciplines">Disciplines</a></li> <li><a href="https://waset.org/conferences">Conferences</a></li> <li><a href="https://waset.org/conference-programs">Conference Program</a></li> <li><a href="https://waset.org/committees">Committees</a></li> <li><a href="https://publications.waset.org">Publications</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Research <li><a href="https://publications.waset.org/abstracts">Abstracts</a></li> <li><a href="https://publications.waset.org">Periodicals</a></li> <li><a href="https://publications.waset.org/archive">Archive</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Open Science <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Philosophy.pdf">Open Science Philosophy</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Science-Award.pdf">Open Science Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Open-Society-Open-Science-and-Open-Innovation.pdf">Open Innovation</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Postdoctoral-Fellowship-Award.pdf">Postdoctoral Fellowship Award</a></li> <li><a target="_blank" rel="nofollow" href="https://publications.waset.org/static/files/Scholarly-Research-Review.pdf">Scholarly Research Review</a></li> </ul> </div> <div class="col-md-2"> <ul class="list-unstyled"> Support <li><a href="https://waset.org/page/support">Support</a></li> <li><a href="https://waset.org/profile/messages/create">Contact Us</a></li> <li><a href="https://waset.org/profile/messages/create">Report Abuse</a></li> </ul> </div> </div> </div> </div> </div> <div class="container text-center"> <hr style="margin-top:0;margin-bottom:.3rem;"> <a href="https://creativecommons.org/licenses/by/4.0/" target="_blank" class="text-muted small">Creative Commons Attribution 4.0 International License</a> <div id="copy" class="mt-2">© 2024 World Academy of Science, Engineering and Technology</div> </div> </footer> <a href="javascript:" id="return-to-top"><i class="fas fa-arrow-up"></i></a> <div class="modal" id="modal-template"> <div class="modal-dialog"> <div class="modal-content"> <div class="row m-0 mt-1"> <div class="col-md-12"> <button type="button" class="close" data-dismiss="modal" aria-label="Close"><span aria-hidden="true">×</span></button> </div> </div> <div class="modal-body"></div> </div> </div> </div> <script src="https://cdn.waset.org/static/plugins/jquery-3.3.1.min.js"></script> <script src="https://cdn.waset.org/static/plugins/bootstrap-4.2.1/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.waset.org/static/js/site.js?v=150220211556"></script> <script> jQuery(document).ready(function() { /*jQuery.get("https://publications.waset.org/xhr/user-menu", function (response) { jQuery('#mainNavMenu').append(response); });*/ jQuery.get({ url: "https://publications.waset.org/xhr/user-menu", cache: false }).then(function(response){ jQuery('#mainNavMenu').append(response); }); }); </script> </body> </html>