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class="vector-toc vector-pinnable-element"> <div class="vector-pinnable-header vector-toc-pinnable-header vector-pinnable-header-pinned" data-feature-name="toc-pinned" data-pinnable-element-id="vector-toc" > <h2 class="vector-pinnable-header-label">Inhoud</h2> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-pin-button" data-event-name="pinnable-header.vector-toc.pin">naar zijbalk verplaatsen</button> <button class="vector-pinnable-header-toggle-button vector-pinnable-header-unpin-button" data-event-name="pinnable-header.vector-toc.unpin">verbergen</button> </div> <ul class="vector-toc-contents" id="mw-panel-toc-list"> <li id="toc-mw-content-text" class="vector-toc-list-item vector-toc-level-1"> <a href="#" class="vector-toc-link"> <div class="vector-toc-text">Top</div> </a> </li> <li id="toc-Leven" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Leven"> <div class="vector-toc-text"> <span class="vector-toc-numb">1</span> <span>Leven</span> </div> </a> <ul id="toc-Leven-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Werk" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Werk"> <div class="vector-toc-text"> <span class="vector-toc-numb">2</span> <span>Werk</span> </div> </a> <ul id="toc-Werk-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Naar_Banach_genoemd" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Naar_Banach_genoemd"> <div class="vector-toc-text"> <span class="vector-toc-numb">3</span> <span>Naar Banach genoemd</span> </div> </a> <ul id="toc-Naar_Banach_genoemd-sublist" class="vector-toc-list"> </ul> </li> <li id="toc-Publicaties" class="vector-toc-list-item vector-toc-level-1 vector-toc-list-item-expanded"> <a class="vector-toc-link" href="#Publicaties"> <div class="vector-toc-text"> <span class="vector-toc-numb">4</span> <span>Publicaties</span> </div> </a> <ul id="toc-Publicaties-sublist" class="vector-toc-list"> </ul> </li> </ul> </div> </div> </nav> </div> </div> <div class="mw-content-container"> <main id="content" class="mw-body"> <header class="mw-body-header vector-page-titlebar"> <nav aria-label="Inhoud" class="vector-toc-landmark"> <div id="vector-page-titlebar-toc" class="vector-dropdown vector-page-titlebar-toc vector-button-flush-left" title="Inhoudsopgave" > <input type="checkbox" id="vector-page-titlebar-toc-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-vector-page-titlebar-toc" class="vector-dropdown-checkbox " aria-label="Inhoudsopgave omschakelen" > <label id="vector-page-titlebar-toc-label" for="vector-page-titlebar-toc-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--icon-only " aria-hidden="true" ><span class="vector-icon mw-ui-icon-listBullet mw-ui-icon-wikimedia-listBullet"></span> <span class="vector-dropdown-label-text">Inhoudsopgave omschakelen</span> </label> <div class="vector-dropdown-content"> <div id="vector-page-titlebar-toc-unpinned-container" class="vector-unpinned-container"> </div> </div> </div> </nav> <h1 id="firstHeading" class="firstHeading mw-first-heading"><span class="mw-page-title-main">Stefan Banach</span></h1> <div id="p-lang-btn" class="vector-dropdown mw-portlet mw-portlet-lang" > <input type="checkbox" id="p-lang-btn-checkbox" role="button" aria-haspopup="true" data-event-name="ui.dropdown-p-lang-btn" class="vector-dropdown-checkbox mw-interlanguage-selector" aria-label="Ga naar een artikel in een andere taal. Beschikbaar in 70 talen" > <label id="p-lang-btn-label" for="p-lang-btn-checkbox" class="vector-dropdown-label cdx-button cdx-button--fake-button cdx-button--fake-button--enabled cdx-button--weight-quiet cdx-button--action-progressive mw-portlet-lang-heading-70" aria-hidden="true" ><span class="vector-icon mw-ui-icon-language-progressive mw-ui-icon-wikimedia-language-progressive"></span> <span class="vector-dropdown-label-text">70 talen</span> </label> <div class="vector-dropdown-content"> <div class="vector-menu-content"> <ul class="vector-menu-content-list"> <li class="interlanguage-link interwiki-an mw-list-item"><a href="https://an.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Aragonees" lang="an" hreflang="an" data-title="Stefan Banach" data-language-autonym="Aragonés" data-language-local-name="Aragonees" class="interlanguage-link-target"><span>Aragonés</span></a></li><li class="interlanguage-link interwiki-ar mw-list-item"><a href="https://ar.wikipedia.org/wiki/%D8%B3%D8%AA%D9%8A%D9%81%D9%86_%D8%A8%D8%A7%D9%86%D8%A7%D8%AE" title="ستيفن باناخ – Arabisch" lang="ar" hreflang="ar" data-title="ستيفن باناخ" data-language-autonym="العربية" data-language-local-name="Arabisch" class="interlanguage-link-target"><span>العربية</span></a></li><li class="interlanguage-link interwiki-arz mw-list-item"><a href="https://arz.wikipedia.org/wiki/%D8%B3%D8%AA%D9%8A%D9%81%D9%86_%D8%A8%D8%A7%D9%86%D8%A7%D8%AE" title="ستيفن باناخ – Egyptisch Arabisch" lang="arz" hreflang="arz" data-title="ستيفن باناخ" data-language-autonym="مصرى" data-language-local-name="Egyptisch Arabisch" class="interlanguage-link-target"><span>مصرى</span></a></li><li class="interlanguage-link interwiki-ast mw-list-item"><a href="https://ast.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Asturisch" lang="ast" hreflang="ast" data-title="Stefan Banach" data-language-autonym="Asturianu" data-language-local-name="Asturisch" class="interlanguage-link-target"><span>Asturianu</span></a></li><li class="interlanguage-link interwiki-az mw-list-item"><a href="https://az.wikipedia.org/wiki/Stefan_Banax" title="Stefan Banax – Azerbeidzjaans" lang="az" hreflang="az" data-title="Stefan Banax" data-language-autonym="Azərbaycanca" data-language-local-name="Azerbeidzjaans" class="interlanguage-link-target"><span>Azərbaycanca</span></a></li><li class="interlanguage-link interwiki-azb mw-list-item"><a href="https://azb.wikipedia.org/wiki/%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D9%86_%D8%A8%D8%A7%D9%86%D8%A7%D8%AE" title="استفان باناخ – South Azerbaijani" lang="azb" hreflang="azb" data-title="استفان باناخ" data-language-autonym="تۆرکجه" data-language-local-name="South Azerbaijani" class="interlanguage-link-target"><span>تۆرکجه</span></a></li><li class="interlanguage-link interwiki-be mw-list-item"><a href="https://be.wikipedia.org/wiki/%D0%A1%D1%82%D1%8D%D1%84%D0%B0%D0%BD_%D0%91%D0%B0%D0%BD%D0%B0%D1%85" title="Стэфан Банах – Belarussisch" lang="be" hreflang="be" data-title="Стэфан Банах" data-language-autonym="Беларуская" data-language-local-name="Belarussisch" class="interlanguage-link-target"><span>Беларуская</span></a></li><li class="interlanguage-link interwiki-be-x-old mw-list-item"><a href="https://be-tarask.wikipedia.org/wiki/%D0%A1%D1%82%D1%8D%D1%84%D0%B0%D0%BD_%D0%91%D0%B0%D0%BD%D0%B0%D1%85" title="Стэфан Банах – Belarusian (Taraškievica orthography)" lang="be-tarask" hreflang="be-tarask" data-title="Стэфан Банах" data-language-autonym="Беларуская (тарашкевіца)" data-language-local-name="Belarusian (Taraškievica orthography)" class="interlanguage-link-target"><span>Беларуская (тарашкевіца)</span></a></li><li class="interlanguage-link interwiki-bg mw-list-item"><a href="https://bg.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%84%D0%B0%D0%BD_%D0%91%D0%B0%D0%BD%D0%B0%D1%85" title="Стефан Банах – Bulgaars" lang="bg" hreflang="bg" data-title="Стефан Банах" data-language-autonym="Български" data-language-local-name="Bulgaars" class="interlanguage-link-target"><span>Български</span></a></li><li class="interlanguage-link interwiki-bn mw-list-item"><a href="https://bn.wikipedia.org/wiki/%E0%A6%B8%E0%A7%8D%E0%A6%9F%E0%A7%87%E0%A6%AB%E0%A6%BE%E0%A6%A8_%E0%A6%AC%E0%A6%BE%E0%A6%A8%E0%A6%BE%E0%A6%96" title="স্টেফান বানাখ – Bengaals" lang="bn" hreflang="bn" data-title="স্টেফান বানাখ" data-language-autonym="বাংলা" data-language-local-name="Bengaals" class="interlanguage-link-target"><span>বাংলা</span></a></li><li class="interlanguage-link interwiki-ca mw-list-item"><a href="https://ca.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Catalaans" lang="ca" hreflang="ca" data-title="Stefan Banach" data-language-autonym="Català" data-language-local-name="Catalaans" class="interlanguage-link-target"><span>Català</span></a></li><li class="interlanguage-link interwiki-ckb mw-list-item"><a href="https://ckb.wikipedia.org/wiki/%D8%A6%DB%8E%D8%B3%D8%AA%DB%8E%D9%81%D8%A7%D9%86_%D8%A8%D8%A7%D9%86%D8%A7%D8%AE" title="ئێستێفان باناخ – Soranî" lang="ckb" hreflang="ckb" data-title="ئێستێفان باناخ" data-language-autonym="کوردی" data-language-local-name="Soranî" class="interlanguage-link-target"><span>کوردی</span></a></li><li class="interlanguage-link interwiki-co mw-list-item"><a href="https://co.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Corsicaans" lang="co" hreflang="co" data-title="Stefan Banach" data-language-autonym="Corsu" data-language-local-name="Corsicaans" class="interlanguage-link-target"><span>Corsu</span></a></li><li class="interlanguage-link interwiki-cs mw-list-item"><a href="https://cs.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Tsjechisch" lang="cs" hreflang="cs" data-title="Stefan Banach" data-language-autonym="Čeština" data-language-local-name="Tsjechisch" class="interlanguage-link-target"><span>Čeština</span></a></li><li class="interlanguage-link interwiki-cv mw-list-item"><a href="https://cv.wikipedia.org/wiki/%D0%91%D0%B0%D0%BD%D0%B0%D1%85_%D0%A1%D1%82%D0%B5%D1%84%D0%B0%D0%BD" title="Банах Стефан – Tsjoevasjisch" lang="cv" hreflang="cv" data-title="Банах Стефан" data-language-autonym="Чӑвашла" data-language-local-name="Tsjoevasjisch" class="interlanguage-link-target"><span>Чӑвашла</span></a></li><li class="interlanguage-link interwiki-cy mw-list-item"><a href="https://cy.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Welsh" lang="cy" hreflang="cy" data-title="Stefan Banach" data-language-autonym="Cymraeg" data-language-local-name="Welsh" class="interlanguage-link-target"><span>Cymraeg</span></a></li><li class="interlanguage-link interwiki-de mw-list-item"><a href="https://de.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Duits" lang="de" hreflang="de" data-title="Stefan Banach" data-language-autonym="Deutsch" data-language-local-name="Duits" class="interlanguage-link-target"><span>Deutsch</span></a></li><li class="interlanguage-link interwiki-dsb mw-list-item"><a href="https://dsb.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Nedersorbisch" lang="dsb" hreflang="dsb" data-title="Stefan Banach" data-language-autonym="Dolnoserbski" data-language-local-name="Nedersorbisch" class="interlanguage-link-target"><span>Dolnoserbski</span></a></li><li class="interlanguage-link interwiki-el mw-list-item"><a href="https://el.wikipedia.org/wiki/%CE%A3%CF%84%CE%AD%CF%86%CE%B1%CE%BD_%CE%9C%CF%80%CE%AC%CE%BD%CE%B1%CF%87" title="Στέφαν Μπάναχ – Grieks" lang="el" hreflang="el" data-title="Στέφαν Μπάναχ" data-language-autonym="Ελληνικά" data-language-local-name="Grieks" class="interlanguage-link-target"><span>Ελληνικά</span></a></li><li class="interlanguage-link interwiki-en mw-list-item"><a href="https://en.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Engels" lang="en" hreflang="en" data-title="Stefan Banach" data-language-autonym="English" data-language-local-name="Engels" class="interlanguage-link-target"><span>English</span></a></li><li class="interlanguage-link interwiki-eo mw-list-item"><a href="https://eo.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Esperanto" lang="eo" hreflang="eo" data-title="Stefan Banach" data-language-autonym="Esperanto" data-language-local-name="Esperanto" class="interlanguage-link-target"><span>Esperanto</span></a></li><li class="interlanguage-link interwiki-es mw-list-item"><a href="https://es.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Spaans" lang="es" hreflang="es" data-title="Stefan Banach" data-language-autonym="Español" data-language-local-name="Spaans" class="interlanguage-link-target"><span>Español</span></a></li><li class="interlanguage-link interwiki-et mw-list-item"><a href="https://et.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Estisch" lang="et" hreflang="et" data-title="Stefan Banach" data-language-autonym="Eesti" data-language-local-name="Estisch" class="interlanguage-link-target"><span>Eesti</span></a></li><li class="interlanguage-link interwiki-eu mw-list-item"><a href="https://eu.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Baskisch" lang="eu" hreflang="eu" data-title="Stefan Banach" data-language-autonym="Euskara" data-language-local-name="Baskisch" class="interlanguage-link-target"><span>Euskara</span></a></li><li class="interlanguage-link interwiki-fa mw-list-item"><a href="https://fa.wikipedia.org/wiki/%D8%A7%D8%B3%D8%AA%D9%81%D8%A7%D9%86_%D8%A8%D8%A7%D9%86%D8%A7%D8%AE" title="استفان باناخ – Perzisch" lang="fa" hreflang="fa" data-title="استفان باناخ" data-language-autonym="فارسی" data-language-local-name="Perzisch" class="interlanguage-link-target"><span>فارسی</span></a></li><li class="interlanguage-link interwiki-fi mw-list-item"><a href="https://fi.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Fins" lang="fi" hreflang="fi" data-title="Stefan Banach" data-language-autonym="Suomi" data-language-local-name="Fins" class="interlanguage-link-target"><span>Suomi</span></a></li><li class="interlanguage-link interwiki-fr mw-list-item"><a href="https://fr.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Frans" lang="fr" hreflang="fr" data-title="Stefan Banach" data-language-autonym="Français" data-language-local-name="Frans" class="interlanguage-link-target"><span>Français</span></a></li><li class="interlanguage-link interwiki-fur mw-list-item"><a href="https://fur.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Friulisch" lang="fur" hreflang="fur" data-title="Stefan Banach" data-language-autonym="Furlan" data-language-local-name="Friulisch" class="interlanguage-link-target"><span>Furlan</span></a></li><li class="interlanguage-link interwiki-fy mw-list-item"><a href="https://fy.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Fries" lang="fy" hreflang="fy" data-title="Stefan Banach" data-language-autonym="Frysk" data-language-local-name="Fries" class="interlanguage-link-target"><span>Frysk</span></a></li><li class="interlanguage-link interwiki-gl mw-list-item"><a href="https://gl.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Galicisch" lang="gl" hreflang="gl" data-title="Stefan Banach" data-language-autonym="Galego" data-language-local-name="Galicisch" class="interlanguage-link-target"><span>Galego</span></a></li><li class="interlanguage-link interwiki-he mw-list-item"><a href="https://he.wikipedia.org/wiki/%D7%A1%D7%98%D7%A4%D7%9F_%D7%91%D7%A0%D7%9A" title="סטפן בנך – Hebreeuws" lang="he" hreflang="he" data-title="סטפן בנך" data-language-autonym="עברית" data-language-local-name="Hebreeuws" class="interlanguage-link-target"><span>עברית</span></a></li><li class="interlanguage-link interwiki-hr mw-list-item"><a href="https://hr.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Kroatisch" lang="hr" hreflang="hr" data-title="Stefan Banach" data-language-autonym="Hrvatski" data-language-local-name="Kroatisch" class="interlanguage-link-target"><span>Hrvatski</span></a></li><li class="interlanguage-link interwiki-hu mw-list-item"><a href="https://hu.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Hongaars" lang="hu" hreflang="hu" data-title="Stefan Banach" data-language-autonym="Magyar" data-language-local-name="Hongaars" class="interlanguage-link-target"><span>Magyar</span></a></li><li class="interlanguage-link interwiki-hy mw-list-item"><a href="https://hy.wikipedia.org/wiki/%D5%8D%D5%BF%D5%A5%D6%86%D5%A1%D5%B6_%D4%B2%D5%A1%D5%B6%D5%A1%D5%AD" title="Ստեֆան Բանախ – Armeens" lang="hy" hreflang="hy" data-title="Ստեֆան Բանախ" data-language-autonym="Հայերեն" data-language-local-name="Armeens" class="interlanguage-link-target"><span>Հայերեն</span></a></li><li class="interlanguage-link interwiki-id mw-list-item"><a href="https://id.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Indonesisch" lang="id" hreflang="id" data-title="Stefan Banach" data-language-autonym="Bahasa Indonesia" data-language-local-name="Indonesisch" class="interlanguage-link-target"><span>Bahasa Indonesia</span></a></li><li class="interlanguage-link interwiki-is mw-list-item"><a href="https://is.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – IJslands" lang="is" hreflang="is" data-title="Stefan Banach" data-language-autonym="Íslenska" data-language-local-name="IJslands" class="interlanguage-link-target"><span>Íslenska</span></a></li><li class="interlanguage-link interwiki-it mw-list-item"><a href="https://it.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Italiaans" lang="it" hreflang="it" data-title="Stefan Banach" data-language-autonym="Italiano" data-language-local-name="Italiaans" class="interlanguage-link-target"><span>Italiano</span></a></li><li class="interlanguage-link interwiki-ja mw-list-item"><a href="https://ja.wikipedia.org/wiki/%E3%82%B9%E3%83%86%E3%83%95%E3%82%A1%E3%83%B3%E3%83%BB%E3%83%90%E3%83%8A%E3%83%95" title="ステファン・バナフ – Japans" lang="ja" hreflang="ja" data-title="ステファン・バナフ" data-language-autonym="日本語" data-language-local-name="Japans" class="interlanguage-link-target"><span>日本語</span></a></li><li class="interlanguage-link interwiki-kk mw-list-item"><a href="https://kk.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%84%D0%B0%D0%BD_%D0%91%D0%B0%D0%BD%D0%B0%D1%85" title="Стефан Банах – Kazachs" lang="kk" hreflang="kk" data-title="Стефан Банах" data-language-autonym="Қазақша" data-language-local-name="Kazachs" class="interlanguage-link-target"><span>Қазақша</span></a></li><li class="interlanguage-link interwiki-kn mw-list-item"><a href="https://kn.wikipedia.org/wiki/%E0%B2%B8%E0%B3%8D%E0%B2%9F%E0%B3%80%E0%B2%AB%E0%B2%A8%E0%B3%8D_%E0%B2%AC%E0%B2%BE%E0%B2%A8%E0%B2%BE%E0%B2%95%E0%B3%8D" title="ಸ್ಟೀಫನ್ ಬಾನಾಕ್ – Kannada" lang="kn" hreflang="kn" data-title="ಸ್ಟೀಫನ್ ಬಾನಾಕ್" data-language-autonym="ಕನ್ನಡ" data-language-local-name="Kannada" class="interlanguage-link-target"><span>ಕನ್ನಡ</span></a></li><li class="interlanguage-link interwiki-ko mw-list-item"><a href="https://ko.wikipedia.org/wiki/%EC%8A%A4%ED%85%8C%ED%8C%90_%EB%B0%94%EB%82%98%ED%9D%90" title="스테판 바나흐 – Koreaans" lang="ko" hreflang="ko" data-title="스테판 바나흐" data-language-autonym="한국어" data-language-local-name="Koreaans" class="interlanguage-link-target"><span>한국어</span></a></li><li class="interlanguage-link interwiki-la mw-list-item"><a href="https://la.wikipedia.org/wiki/Stephanus_Banach" title="Stephanus Banach – Latijn" lang="la" hreflang="la" data-title="Stephanus Banach" data-language-autonym="Latina" data-language-local-name="Latijn" class="interlanguage-link-target"><span>Latina</span></a></li><li class="interlanguage-link interwiki-lfn mw-list-item"><a href="https://lfn.wikipedia.org/wiki/Stefan_Banax" title="Stefan Banax – Lingua Franca Nova" lang="lfn" hreflang="lfn" data-title="Stefan Banax" data-language-autonym="Lingua Franca Nova" data-language-local-name="Lingua Franca Nova" class="interlanguage-link-target"><span>Lingua Franca Nova</span></a></li><li class="interlanguage-link interwiki-lt mw-list-item"><a href="https://lt.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Litouws" lang="lt" hreflang="lt" data-title="Stefan Banach" data-language-autonym="Lietuvių" data-language-local-name="Litouws" class="interlanguage-link-target"><span>Lietuvių</span></a></li><li class="interlanguage-link interwiki-lv mw-list-item"><a href="https://lv.wikipedia.org/wiki/Stefans_Banahs" title="Stefans Banahs – Lets" lang="lv" hreflang="lv" data-title="Stefans Banahs" data-language-autonym="Latviešu" data-language-local-name="Lets" class="interlanguage-link-target"><span>Latviešu</span></a></li><li class="interlanguage-link interwiki-mg mw-list-item"><a href="https://mg.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Malagassisch" lang="mg" hreflang="mg" data-title="Stefan Banach" data-language-autonym="Malagasy" data-language-local-name="Malagassisch" class="interlanguage-link-target"><span>Malagasy</span></a></li><li class="interlanguage-link interwiki-mk mw-list-item"><a href="https://mk.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%84%D0%B0%D0%BD_%D0%91%D0%B0%D0%BD%D0%B0%D1%85" title="Стефан Банах – Macedonisch" lang="mk" hreflang="mk" data-title="Стефан Банах" data-language-autonym="Македонски" data-language-local-name="Macedonisch" class="interlanguage-link-target"><span>Македонски</span></a></li><li class="interlanguage-link interwiki-mn mw-list-item"><a href="https://mn.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%84%D0%B0%D0%BD_%D0%91%D0%B0%D0%BD%D0%B0%D1%85" title="Стефан Банах – Mongools" lang="mn" hreflang="mn" data-title="Стефан Банах" data-language-autonym="Монгол" data-language-local-name="Mongools" class="interlanguage-link-target"><span>Монгол</span></a></li><li class="interlanguage-link interwiki-nap mw-list-item"><a href="https://nap.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Napolitaans" lang="nap" hreflang="nap" data-title="Stefan Banach" data-language-autonym="Napulitano" data-language-local-name="Napolitaans" class="interlanguage-link-target"><span>Napulitano</span></a></li><li class="interlanguage-link interwiki-nn mw-list-item"><a href="https://nn.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Noors - Nynorsk" lang="nn" hreflang="nn" data-title="Stefan Banach" data-language-autonym="Norsk nynorsk" data-language-local-name="Noors - Nynorsk" class="interlanguage-link-target"><span>Norsk nynorsk</span></a></li><li class="interlanguage-link interwiki-no mw-list-item"><a href="https://no.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Noors - Bokmål" lang="nb" hreflang="nb" data-title="Stefan Banach" data-language-autonym="Norsk bokmål" data-language-local-name="Noors - Bokmål" class="interlanguage-link-target"><span>Norsk bokmål</span></a></li><li class="interlanguage-link interwiki-pl mw-list-item"><a href="https://pl.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Pools" lang="pl" hreflang="pl" data-title="Stefan Banach" data-language-autonym="Polski" data-language-local-name="Pools" class="interlanguage-link-target"><span>Polski</span></a></li><li class="interlanguage-link interwiki-pms mw-list-item"><a href="https://pms.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Piëmontees" lang="pms" hreflang="pms" data-title="Stefan Banach" data-language-autonym="Piemontèis" data-language-local-name="Piëmontees" class="interlanguage-link-target"><span>Piemontèis</span></a></li><li class="interlanguage-link interwiki-pt mw-list-item"><a href="https://pt.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Portugees" lang="pt" hreflang="pt" data-title="Stefan Banach" data-language-autonym="Português" data-language-local-name="Portugees" class="interlanguage-link-target"><span>Português</span></a></li><li class="interlanguage-link interwiki-ro mw-list-item"><a href="https://ro.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Roemeens" lang="ro" hreflang="ro" data-title="Stefan Banach" data-language-autonym="Română" data-language-local-name="Roemeens" class="interlanguage-link-target"><span>Română</span></a></li><li class="interlanguage-link interwiki-ru mw-list-item"><a href="https://ru.wikipedia.org/wiki/%D0%91%D0%B0%D0%BD%D0%B0%D1%85,_%D0%A1%D1%82%D0%B5%D1%84%D0%B0%D0%BD" title="Банах, Стефан – Russisch" lang="ru" hreflang="ru" data-title="Банах, Стефан" data-language-autonym="Русский" data-language-local-name="Russisch" class="interlanguage-link-target"><span>Русский</span></a></li><li class="interlanguage-link interwiki-scn mw-list-item"><a href="https://scn.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Siciliaans" lang="scn" hreflang="scn" data-title="Stefan Banach" data-language-autonym="Sicilianu" data-language-local-name="Siciliaans" class="interlanguage-link-target"><span>Sicilianu</span></a></li><li class="interlanguage-link interwiki-sk mw-list-item"><a href="https://sk.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Slowaaks" lang="sk" hreflang="sk" data-title="Stefan Banach" data-language-autonym="Slovenčina" data-language-local-name="Slowaaks" class="interlanguage-link-target"><span>Slovenčina</span></a></li><li class="interlanguage-link interwiki-sl mw-list-item"><a href="https://sl.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Sloveens" lang="sl" hreflang="sl" data-title="Stefan Banach" data-language-autonym="Slovenščina" data-language-local-name="Sloveens" class="interlanguage-link-target"><span>Slovenščina</span></a></li><li class="interlanguage-link interwiki-sr mw-list-item"><a href="https://sr.wikipedia.org/wiki/Stefan_Banah" title="Stefan Banah – Servisch" lang="sr" hreflang="sr" data-title="Stefan Banah" data-language-autonym="Српски / srpski" data-language-local-name="Servisch" class="interlanguage-link-target"><span>Српски / srpski</span></a></li><li class="interlanguage-link interwiki-sv mw-list-item"><a href="https://sv.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Zweeds" lang="sv" hreflang="sv" data-title="Stefan Banach" data-language-autonym="Svenska" data-language-local-name="Zweeds" class="interlanguage-link-target"><span>Svenska</span></a></li><li class="interlanguage-link interwiki-tg mw-list-item"><a href="https://tg.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%84%D0%B0%D0%BD_%D0%91%D0%B0%D0%BD%D0%B0%D1%85" title="Стефан Банах – Tadzjieks" lang="tg" hreflang="tg" data-title="Стефан Банах" data-language-autonym="Тоҷикӣ" data-language-local-name="Tadzjieks" class="interlanguage-link-target"><span>Тоҷикӣ</span></a></li><li class="interlanguage-link interwiki-tr mw-list-item"><a href="https://tr.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Turks" lang="tr" hreflang="tr" data-title="Stefan Banach" data-language-autonym="Türkçe" data-language-local-name="Turks" class="interlanguage-link-target"><span>Türkçe</span></a></li><li class="interlanguage-link interwiki-uk mw-list-item"><a href="https://uk.wikipedia.org/wiki/%D0%A1%D1%82%D0%B5%D1%84%D0%B0%D0%BD_%D0%91%D0%B0%D0%BD%D0%B0%D1%85" title="Стефан Банах – Oekraïens" lang="uk" hreflang="uk" data-title="Стефан Банах" data-language-autonym="Українська" data-language-local-name="Oekraïens" class="interlanguage-link-target"><span>Українська</span></a></li><li class="interlanguage-link interwiki-uz mw-list-item"><a href="https://uz.wikipedia.org/wiki/Banax_Stefan" title="Banax Stefan – Oezbeeks" lang="uz" hreflang="uz" data-title="Banax Stefan" data-language-autonym="Oʻzbekcha / ўзбекча" data-language-local-name="Oezbeeks" class="interlanguage-link-target"><span>Oʻzbekcha / ўзбекча</span></a></li><li class="interlanguage-link interwiki-vi mw-list-item"><a href="https://vi.wikipedia.org/wiki/Stefan_Banach" title="Stefan Banach – Vietnamees" lang="vi" hreflang="vi" data-title="Stefan Banach" data-language-autonym="Tiếng Việt" data-language-local-name="Vietnamees" class="interlanguage-link-target"><span>Tiếng Việt</span></a></li><li class="interlanguage-link interwiki-wuu mw-list-item"><a href="https://wuu.wikipedia.org/wiki/%E6%96%AF%E7%89%B9%E5%87%A1%C2%B7%E5%B7%B4%E6%8B%BF%E8%B5%AB" title="斯特凡·巴拿赫 – Wuyu" lang="wuu" hreflang="wuu" data-title="斯特凡·巴拿赫" data-language-autonym="吴语" data-language-local-name="Wuyu" class="interlanguage-link-target"><span>吴语</span></a></li><li class="interlanguage-link interwiki-xmf mw-list-item"><a href="https://xmf.wikipedia.org/wiki/%E1%83%A1%E1%83%A2%E1%83%94%E1%83%A4%E1%83%90%E1%83%9C_%E1%83%91%E1%83%90%E1%83%9C%E1%83%90%E1%83%AE%E1%83%98" title="სტეფან ბანახი – Mingreels" lang="xmf" hreflang="xmf" data-title="სტეფან ბანახი" data-language-autonym="მარგალური" data-language-local-name="Mingreels" 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class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/5/51/Stefana_Banach_-_%D8%B3%D8%AA%D9%8A%D9%81%D8%A7%D9%86_%D8%A8%D9%86%D8%A7%D8%AE.jpg/260px-Stefana_Banach_-_%D8%B3%D8%AA%D9%8A%D9%81%D8%A7%D9%86_%D8%A8%D9%86%D8%A7%D8%AE.jpg" decoding="async" width="260" height="349" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/5/51/Stefana_Banach_-_%D8%B3%D8%AA%D9%8A%D9%81%D8%A7%D9%86_%D8%A8%D9%86%D8%A7%D8%AE.jpg 1.5x" data-file-width="348" data-file-height="467" /></a><figcaption>Stefan Banach</figcaption></figure> <figure class="mw-default-size" typeof="mw:File/Thumb"><a href="/wiki/Bestand:Stefan_Banach_monument_in_Krak%C3%B3w.jpg" class="mw-file-description"><img src="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Stefan_Banach_monument_in_Krak%C3%B3w.jpg/260px-Stefan_Banach_monument_in_Krak%C3%B3w.jpg" decoding="async" width="260" height="390" class="mw-file-element" srcset="//upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Stefan_Banach_monument_in_Krak%C3%B3w.jpg/390px-Stefan_Banach_monument_in_Krak%C3%B3w.jpg 1.5x, //upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Stefan_Banach_monument_in_Krak%C3%B3w.jpg/520px-Stefan_Banach_monument_in_Krak%C3%B3w.jpg 2x" data-file-width="2592" data-file-height="3888" /></a><figcaption>Buste van Stefan Banach in Krakau</figcaption></figure> <p><b>Stefan Banach</b> (<a href="/wiki/Krakau" title="Krakau">Krakau</a>, <a href="/wiki/30_maart" title="30 maart">30 maart</a> <a href="/wiki/1892" title="1892">1892</a> – <a href="/wiki/Lviv" title="Lviv">Lemberg</a>, <a href="/wiki/31_augustus" title="31 augustus">31 augustus</a> <a href="/wiki/1945" title="1945">1945</a>) was een <a href="/wiki/Polen" title="Polen">Poolse</a> <a href="/wiki/Wiskundige" title="Wiskundige">wiskundige</a>, een van de drijvende krachten van de <a href="/wiki/Wiskundige_school_van_Lw%C3%B3w" title="Wiskundige school van Lwów">Lwów-stroming</a> binnen de wiskunde in het Polen van voor de <a href="/wiki/Tweede_Wereldoorlog" title="Tweede Wereldoorlog">Tweede Wereldoorlog</a>. </p> <meta property="mw:PageProp/toc" /> <div class="mw-heading mw-heading2"><h2 id="Leven">Leven</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Stefan_Banach&veaction=edit&section=1" title="Bewerk dit kopje: Leven" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Stefan_Banach&action=edit&section=1" title="De broncode bewerken van de sectie: Leven"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p>Hij was een grotendeels autodidactisch wiskundige; zijn begaafdheid werd ontdekt door <a href="/wiki/Hugo_Steinhaus" title="Hugo Steinhaus">Hugo Steinhaus</a>. Toen de Tweede Wereldoorlog uitbrak was Banach president van de 'Poolse wiskundige gemeenschap' en professor aan de <a href="/wiki/Nationale_Ivan_Franko-universiteit_van_Lviv" title="Nationale Ivan Franko-universiteit van Lviv">universiteit van Lwów</a>. Hij was tevens lid van de Academie van Wetenschappen van de Oekraïense SSR. Doordat hij op goede voet stond met <a href="/wiki/Rusland" title="Rusland">Russische</a> wiskundigen, mocht hij zijn hoogleraarszetel behouden gedurende de Russische bezetting van Lwów. De <a href="/wiki/Duitsland" title="Duitsland">Duitse</a> bezetting van de stad in <a href="/wiki/1941" title="1941">1941</a> resulteerde in een massamoord onder de Poolse academici. Banach overleefde, maar kon slechts het hoofd boven water houden door het voeden van <a href="/wiki/Luizen" title="Luizen">luizen</a> in het prof. Rudolf Weigl instituut, waar onderzoek werd gedaan naar <a href="/wiki/Vlektyfus" title="Vlektyfus">tyfusachtige</a> koorts. Gedurende de bezetting ging zijn gezondheid achteruit (<a href="/wiki/Longkanker" title="Longkanker">longkanker</a>). Banach stierf voordat hij vanuit Lwów, dat na de oorlog door de <a href="/wiki/Sovjet-Unie" title="Sovjet-Unie">Sovjet-Unie</a> was ingelijfd, naar <a href="/wiki/Polen" title="Polen">Polen</a> had kunnen emigreren. </p> <div class="mw-heading mw-heading2"><h2 id="Werk">Werk</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Stefan_Banach&veaction=edit&section=2" title="Bewerk dit kopje: Werk" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Stefan_Banach&action=edit&section=2" title="De broncode bewerken van de sectie: Werk"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <p><i>Théorie des opérations linéaires</i> (<i>Teoria operacji liniowych</i>, 1932) wordt beschouwd als Banach's meest invloedrijke wetenschappelijke bijdrage. In 1929 startte hij samen met <a href="/wiki/Hugo_Steinhaus" title="Hugo Steinhaus">Hugo Steinhaus</a> het <a href="/wiki/Wiskundig_tijdschrift" title="Wiskundig tijdschrift">wiskundig tijdschrift</a>, <a href="/wiki/Studia_Mathematica" title="Studia Mathematica">Studia Mathematica</a>, waar hij ook de redactie over voerde. </p><p>Het belang van de bijdrage van Banach ligt in het feit dat hij een systematische theorie van functionele analyse ontwikkelde, waar voorheen alleen geïsoleerde resultaten waren die later in de nieuwe theorie werden verwerkt.<sup id="cite_ref-1" class="reference"><a href="#cite_note-1"><span class="cite-bracket">[</span>1<span class="cite-bracket">]</span></a></sup> </p><p><a href="/wiki/Stanislaw_Marcin_Ulam" class="mw-redirect" title="Stanislaw Marcin Ulam">Stanislaw Marcin Ulam</a>, een andere wiskundige uit Lvov, merkt in zijn autobiografie het volgende op over Banach: "Goede wiskundigen zien analogieën. Grote wiskundigen zien analogieën tussen de analogieën". </p><p>Banach was de grondlegger van de <a href="/wiki/Functionaalanalyse" title="Functionaalanalyse">functionaalanalyse</a>. Hij leverde ook belangrijke bijdragen aan de theorie van <a href="/wiki/Vectorruimte" title="Vectorruimte">vectorruimten</a> (de Banachruimte is naar hem genoemd), <a href="/wiki/Maattheorie" title="Maattheorie">maattheorie</a>, <a href="/wiki/Verzamelingenleer" title="Verzamelingenleer">verzamelingenleer</a> en andere onderdelen van de wiskunde. </p> <div class="mw-heading mw-heading2"><h2 id="Naar_Banach_genoemd">Naar Banach genoemd</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Stefan_Banach&veaction=edit&section=3" title="Bewerk dit kopje: Naar Banach genoemd" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Stefan_Banach&action=edit&section=3" title="De broncode bewerken van de sectie: Naar Banach genoemd"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><a href="/wiki/Banachruimte" title="Banachruimte">Banach-ruimte</a></li> <li><a href="/wiki/Banach-algebra" title="Banach-algebra">Banach-algebra</a></li> <li><a href="/wiki/Stelling_van_Banach-Steinhaus" class="mw-redirect" title="Stelling van Banach-Steinhaus">Stelling van Banach-Steinhaus</a></li> <li><a href="/wiki/Banach-Tarskiparadox" class="mw-redirect" title="Banach-Tarskiparadox">Banach-Tarski-paradox</a></li> <li><a href="/wiki/Stelling_van_Hahn-Banach" title="Stelling van Hahn-Banach">Stelling van Hahn-Banach</a></li> <li><a href="/wiki/Contractiestelling_van_Banach" title="Contractiestelling van Banach">Contractiestelling van Banach</a></li></ul> <div class="mw-heading mw-heading2"><h2 id="Publicaties">Publicaties</h2><span class="mw-editsection"><span class="mw-editsection-bracket">[</span><a href="/w/index.php?title=Stefan_Banach&veaction=edit&section=4" title="Bewerk dit kopje: Publicaties" class="mw-editsection-visualeditor"><span>bewerken</span></a><span class="mw-editsection-divider"> | </span><a href="/w/index.php?title=Stefan_Banach&action=edit&section=4" title="De broncode bewerken van de sectie: Publicaties"><span>brontekst bewerken</span></a><span class="mw-editsection-bracket">]</span></span></div> <ul><li><style data-mw-deduplicate="TemplateStyles:r67679320">.mw-parser-output .taalaanduiding{font-family:sans-serif;font-size:85%;cursor:help;color:var(--color-subtle,#555)}.mw-parser-output .taalaanduiding span{border-bottom:1px dotted var(--color-subtle,#555)}</style><span class="taalaanduiding" title="Taal: Frans">(<span>fr</span>) </span> Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales (Over operations in abstracte verzamelingen en hun toepassingen op integraalvergelijkingen) <a rel="nofollow" class="external text" href="http://matwbn.icm.edu.pl/ksiazki/fm/fm3/fm3120.pdf">zie hier</a>, <a href="/wiki/Fundamenta_Mathematicae" title="Fundamenta Mathematicae">Fundamenta Mathematicae</a>, <a href="/wiki/International_Standard_Serial_Number" title="International Standard Serial Number">ISSN</a> <a rel="nofollow" class="external text" href="https://www.worldcat.org/issn/0016-2736">0016-2736</a>, vol 3, 1922</li> <li><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r67679320"><span class="taalaanduiding" title="Taal: Frans">(<span>fr</span>) </span> <a rel="nofollow" class="external text" href="http://matwbn.icm.edu.pl/kstresc.php?tom=1&wyd=10">Théorie des opérations linéaires</a>, Warschau, Subwencji Funduszu Kultury Narodowej, Monografie Matematyczne, 1932</li></ul> <div class="toccolours appendix" role="presentation" style="font-size:90%; margin:1em 0 -0.5em; clear:both;"> <div><span style="font-weight:bold">Bronnen, noten en/of referenties</span></div> <div class="reflist" style="list-style-type: decimal;"><div class="mw-references-wrap"><ol class="references"> <li id="cite_note-1"><span class="mw-cite-backlink"><a href="#cite_ref-1">↑</a></span> <span class="reference-text"><span class="citation" id="CITEREF2022"><link rel="mw-deduplicated-inline-style" href="mw-data:TemplateStyles:r67679320"><span class="taalaanduiding" title="Taal: Oekraïens">(<span>uk</span>) </span><a rel="nofollow" class="external text" href="https://krakow1.one/uk/eternal/matematychnyj-mist-mizh-krakovom-i-lvovom-yak-stefan-banah-stav-odnym-iz-najvelychnishyh-matematykiv-stolittya-2181">Математичний міст між Краковом і Львовом: як Стефан Банах став одним із найвеличніших математиків століття - krakow1.one</a> (<span class="mw-formatted-date" title="2022-11-16">16 november 2022</span>). Geraadpleegd op <span class="mw-formatted-date" title="2022-11-30">30 november 2022</span>. </span></span> </li> </ol></div></div> </div>    </div><noscript><img src="https://login.wikimedia.org/wiki/Special:CentralAutoLogin/start?useformat=desktop&type=1x1&usesul3=0" alt="" width="1" height="1" style="border: none; position: absolute;"></noscript> <div class="printfooter" data-nosnippet="">Overgenomen van "<a dir="ltr" href="https://nl.wikipedia.org/w/index.php?title=Stefan_Banach&oldid=65709958">https://nl.wikipedia.org/w/index.php?title=Stefan_Banach&oldid=65709958</a>"</div></div> <div id="catlinks" class="catlinks" data-mw="interface"><div id="mw-normal-catlinks" class="mw-normal-catlinks"><a href="/wiki/Categorie:Alles" title="Categorie:Alles">Categorieën</a>: <ul><li><a href="/wiki/Categorie:Pools_wiskundige" title="Categorie:Pools wiskundige">Pools wiskundige</a></li><li><a href="/wiki/Categorie:Pools_hoogleraar" title="Categorie:Pools hoogleraar">Pools hoogleraar</a></li><li><a href="/wiki/Categorie:20e-eeuws_wiskundige" title="Categorie:20e-eeuws wiskundige">20e-eeuws wiskundige</a></li></ul></div></div> </div> </main> </div> <div class="mw-footer-container"> <footer id="footer" class="mw-footer" > <ul id="footer-info"> <li id="footer-info-lastmod"> Deze pagina is voor het laatst bewerkt op 6 sep 2023 om 14:44.</li> <li id="footer-info-copyright">De tekst is beschikbaar onder de licentie <a rel="nofollow" class="external text" href="//creativecommons.org/licenses/by-sa/4.0/deed.nl">Creative Commons Naamsvermelding/Gelijk delen</a>, er kunnen aanvullende voorwaarden van toepassing zijn. 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