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DOISerbia - ps-drazin inverses in banach algebras - Chen, Huanyin; Calci, Tugce Pekacar
<!DOCTYPE html> <html> <head id="MasterHeader"><title> DOISerbia - ps-drazin inverses in banach algebras - Chen, Huanyin; Calci, Tugce Pekacar </title><meta name="robots" content="index,follow" /> <!-- Google tag (gtag.js) --> <script async src="https://www.googletagmanager.com/gtag/js?id=G-NJRRP467ME"></script> <script> window.dataLayer = window.dataLayer || []; function gtag() { dataLayer.push(arguments); } gtag('js', new Date()); gtag('config', 'G-NJRRP467ME'); </script> <link href="App_Themes/KoBSON/main.css" type="text/css" rel="stylesheet" /><meta name="description" content="Chen, Huanyin; Calci, Tugce Pekacar - ps-drazin inverses in banach algebras - Filomat" /><meta property="og:title" content="DOI Serbia časopisi" /><meta property="og:url" content="https://doiserbia.nb.rs/Article.aspx?ID=0354-51801907125C" /><meta name="citation_journal_title" content="Filomat" /><meta name="citation_title" content="ps-drazin inverses in banach algebras" /><meta name="citation_author" content="Chen, Huanyin" /><meta name="citation_author" content="Calci, Tugce Pekacar" /><meta name="citation_keywords" content="ps-Drazin inverse, multiplicative property, additive property, Banach algebra" /><meta name="citation_year" content="2019" /><meta name="citation_volume" content="33" /><meta name="citation_issue" content="7" /><meta name="citation_firstpage" content="2125" /><meta name="citation_lastpage" content="2133" /><meta name="citation_abstract" content="An element a in a Banach algebra A has ps-Drazin inverse if there exists p2 = p comm2(a) such that (a - p)k J(A) for some k N. Let A be a Banach algebra, and let a,b A have ps-Drazin inverses. If a2b = aba and b2a = bab, we prove that 1. ab A has ps-Drazin inverse. 2. a + b A has ps-Drazin inverse if and only if 1 + adb A has ps-Drazin inverse. As applications, we present various conditions under which a 2 x 2 matrix over a Banach algebra has ps-Drazin inverse." /><meta name="citation_pdf_url" content="http://www.doiserbia.nb.rs/ft.aspx?id=0354-51801907125C" /><style type="text/css"> .ContentPlaceHolder1_JournalBrowser1_treeviewIssues_0 { text-decoration:none; } </style></head> <body> <form method="post" action="./Article.aspx?ID=0354-51801907125C" onsubmit="javascript:return WebForm_OnSubmit();" id="form1"> <div class="aspNetHidden"> <input type="hidden" name="__VIEWSTATE" id="__VIEWSTATE" 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16</a> </li> </ul> </li> </ul> </li> </ul> </div> </div> </div> </div> <div id="ContentRight"> <div class="special"> <div class="right_articles"> <p> <input type="image" name="ctl00$ContentPlaceHolder1$ArticleDetails2$BtnPrevious" id="ContentPlaceHolder1_ArticleDetails2_BtnPrevious" Text="Previous" src="img/button_previous.png" style="height:20px;width:20px;cursor: pointer; font-weight: bold; margin-right: 5px;" /> <input type="image" name="ctl00$ContentPlaceHolder1$ArticleDetails2$BtnNext" id="ContentPlaceHolder1_ArticleDetails2_BtnNext" Text="Next" src="img/button_next.png" style="height:20px;width:20px;cursor: pointer; font-weight: bold;" /> <span id="ContentPlaceHolder1_ArticleDetails2_labelArticleCollation"><p align='right'>Filomat 2019 Volume 33, Issue 7, Pages: 2125-2133<br /> <a href="https://doi.org/10.2298/FIL1907125C">https://doi.org/10.2298/FIL1907125C</a><br /><a href='ft.aspx?id=0354-51801907125C' style="text-decoration:underline;">Full text</a> (<img src="img/pdf-tiny.gif" /> 242 KB)</p></span><br /> <span id="ContentPlaceHolder1_ArticleDetails2_labelArticleTitle"><p><strong>ps-drazin inverses in banach algebras</strong></p></span> <span id="ContentPlaceHolder1_ArticleDetails2_labelArticleAuthors"><p><i><span style="font-weight: bold;">Chen Huanyin</span> (Department of Mathematics, Hangzhou Normal University, Hangzhou, China)<br><span style="font-weight: bold;">Calci Tugce Pekacar</span> (Department of Mathematics, Ankara University, Ankara, Turkey)<br></i></p></span> <span id="ContentPlaceHolder1_ArticleDetails2_labelArticleAbstract"><p>An element a in a Banach algebra A has ps-Drazin inverse if there exists p2 = p comm2(a) such that (a - p)k J(A) for some k N. Let A be a Banach algebra, and let a,b A have ps-Drazin inverses. If a2b = aba and b2a = bab, we prove that 1. ab A has ps-Drazin inverse. 2. a + b A has ps-Drazin inverse if and only if 1 + adb A has ps-Drazin inverse. As applications, we present various conditions under which a 2 x 2 matrix over a Banach algebra has ps-Drazin inverse.</p></span> <span id="ContentPlaceHolder1_ArticleDetails2_labelArticleKeywords"><p>Keywords: ps-Drazin inverse, multiplicative property, additive property, Banach algebra</p></span> <span id="ContentPlaceHolder1_ArticleDetails2_labelArticleSCIndeksId"></span> <span id="ContentPlaceHolder1_ArticleDetails2_labelArticleProject"></span> </p> <hr style="border: 1px solid"/> <p> <span id="ContentPlaceHolder1_ArticleDetails2_lblPrikaziReference" class="LblRef" OnClick="ClientClicked()"></span> </p> <div id="RptRef" style="display:none"> </div> </div> </div> <div class="special"> <ul> <li> <span id="ContentPlaceHolder1_LabelCitationExport"><a href="CitationExport2.aspx?id=0354-51801907125C">Citation export</a></span> </li> <li> <span id="ContentPlaceHolder1_LabelEmail"><a href="Email.aspx?id=0354-51801907125C">Email this article</a></span> </li> </ul> </div> <span id="ContentPlaceHolder1_SocialLabel"><div data-badge-popover="right" data-badge-type="medium-donut" data-doi="10.2298/FIL1907125C" data-hide-no-mentions="true" class="altmetric-embed"></div><div class="addthis_toolbox addthis_default_style addthis_16x16_style" style="width:100%;"><div style="float:right;"><a class="addthis_button_linkedin"></a><a class="addthis_button_mendeley"></a><a class="addthis_button_facebook"></a><a class="addthis_button_twitter"></a><a class="addthis_button_google_plusone_share"></a><a class="addthis_button_gmail"></a><a class="addthis_button_compact"></a><a class="addthis_counter addthis_bubble_style"></a></div></div><script type="text/javascript">var addthis_config = {"data_track_addressbar":true};</script><script type="text/javascript" src="//s7.addthis.com/js/300/addthis_widget.js#pubid=ra-52b2e03455c1c0e1"></script></span> </div> <script type="text/javascript"> function ClientClicked() { var rptref = document.getElementById('RptRef'); if (rptref.style.display == 'none') { rptref.style.display = 'block'; document.getElementsByClassName('LblRef')[0].innerHTML = 'Hide references'; } else { rptref.style.display = 'none'; document.getElementsByClassName('LblRef')[0].innerHTML = 'Show references'; } } </script> <div id="Footer"> Developed and maintained by National Library of Serbia 2005-2025<br/> <p style="color:blue; margin:0px;">ISSN - 2683-3867<br/> <a href="https://plus.cobiss.net/cobiss/sr/sr/bib/278404108#full" target="_blank" rel="noopener noreferrer">COBISS.SR-ID - 278404108</a> </div> </div> <div> <input type="hidden" name="ctl00$ctl19" id="ctl19" /> </div> <script type="text/javascript"> //<![CDATA[ var theForm = document.forms['form1']; if (!theForm) { theForm = document.form1; } function __doPostBack(eventTarget, eventArgument) { if (!theForm.onsubmit || (theForm.onsubmit() != false)) { theForm.__EVENTTARGET.value = eventTarget; theForm.__EVENTARGUMENT.value = eventArgument; theForm.submit(); } } //]]> </script> </form> </body> </html>