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We give an extension of a classical result due to Krein on biorthogonal expansions of compact operators which are symmetrizable with respect to a nondegenerate positive operator. Our approach makes essential use of the spectral expansion of an appropriate compact selfadjoint operator, the existence of which is due to Dieudonné. © 2011 Akadémiai Kiadó, Budapest, Hungary.
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<div class="JournalArticle Publication short-list"> <div class="authors"> <span class="author-name" mtid="10004960"> <a href="/gui2/?type=authors&mode=browse&sel=10004960" target="_blank">Sebestyén, Z</a> </span> <span class="author-type"> </span> ; <span class="author-name" mtid="10027554"> <a href="/gui2/?type=authors&mode=browse&sel=10027554" target="_blank">Tarcsay, Z</a> </span> <span class="author-type"> </span> </div ><div class="title"><a href="/gui2/?mode=browse¶ms=publication;2007251" mtid="2007251" target="_blank">Biorthogonal expansions for symmetrizable operators</a></div> <div class="pub-info"> <span class="journal-title">ACTA MATHEMATICA HUNGARICA</span> <span class="journal-volume">131</span> : <span class="journal-issue">1-2</span> <span class="page"> pp. 35-45. , 11 p. </span> <span class="year">(2011)</span> </div> <div class="pub-end"><div class="identifier-list"> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1007/s10474-010-0048-0" target="_blank" href="https://doi.org/10.1007/s10474-010-0048-0"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000288250300003" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/000288250300003"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="79952573773" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952573773"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="MR2776652" target="_blank" href="https://mathscinet.ams.org/mathscinet-getitem?mr=MR2776652"> Mathematical Reviews </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="1953989" target="_blank" href="http://www.matarka.hu/egy-kozlemeny-oldala.php?MatarkaID=1953989"> Matarka </a> </span> </span> </div> <div class="short-pub-prop-list"> <span class="short-pub-mtid"> Közlemény:2007251 </span> <span class="status-holder"><span class="status-data status-ADMIN_APPROVED"> Admin láttamozott </span></span> <span class="pub-core">Forrás Idéző </span> <span class="pub-type">Folyóiratcikk (Szakcikk ) </span> <!-- && !record.category.scientific --> <span class="pub-category">Tudományos</span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 2</span> | Független: 1 | Függő: 1 | Nem jelölt: 0 | WoS jelölt: 1 | Scopus jelölt: 1 | WoS/Scopus jelölt: 1 | DOI jelölt: 1 </div> </div> </div> </div><div class="JournalArticle Publication long-list"> <div class="authors"> <img title="Forrásközlemény" style="float: left" src="/frontend/resources/grid/publication-core-icon.png"> <img title="Idézőközlemény" style="float: left" src="/frontend/resources/grid/publication-citation-icon.png"> <div class="autype autype0"> <span class="author-name" mtid="10004960"><a href="/gui2/?type=authors&mode=browse&sel=10004960" target="_blank">Sebestyén Z (<span class="authorship-author-name">Sebestyén Zoltán</span> <span class="authorAux-mtmt"> Funkcionálanalízis</span>) </a> </span> <span class="author-affil"><span title="Eötvös Loránd Tudományegyetem">ELTE</span>/<span title="Természettudományi Kar">TTK</span>/<span title="Matematikai Intézet">Mat_I</span>/Alkalmazott Analízis és Számításmatematikai Tanszék</span> ; <span class="author-name" mtid="10027554"><a href="/gui2/?type=authors&mode=browse&sel=10027554" target="_blank">Tarcsay Z (<span class="authorship-author-name">Tarcsay Zsigmond</span> <span class="authorAux-mtmt"> Funkcionálanalízis</span>) </a> </span> <span class="author-affil"><span title="Eötvös Loránd Tudományegyetem">ELTE</span>/<span title="Természettudományi Kar">TTK</span>/<span title="Matematikai Intézet">Mat_I</span>/Alkalmazott Analízis és Számításmatematikai Tanszék</span> </div> </div> <div class="title"><a href="/gui2/?mode=browse¶ms=publication;2007251" target="_blank">Biorthogonal expansions for symmetrizable operators</a></div> <div> <span class="journal-title">ACTA MATHEMATICA HUNGARICA</span> <span class="journal-issn">(<a target="_blank" href="https://portal.issn.org/resource/ISSN/0236-5294">0236-5294</a> <a target="_blank" href="https://portal.issn.org/resource/ISSN/1588-2632">1588-2632</a>)</span>: <span class="journal-volume">131</span> <span class="journal-issue">1-2</span> <span class="page"> pp 35-45 </span> <span class="year">(2011)</span> </div> <div class="pub-footer"> <span class="language" xmlns="http://www.w3.org/1999/html">Nyelv: Angol | </span> <span class="identifiers"> <span class="id identifier oa_none" title="none"> <a style="color:black" title="10.1007/s10474-010-0048-0" target="_blank" href="https://doi.org/10.1007/s10474-010-0048-0"> DOI </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:blue" title="000288250300003" target="_blank" href="https://www.webofscience.com/wos/woscc/full-record/000288250300003"> WoS </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="79952573773" target="_blank" href="http://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79952573773"> Scopus </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="MR2776652" target="_blank" href="https://mathscinet.ams.org/mathscinet-getitem?mr=MR2776652"> Mathematical Reviews </a> </span> <span class="id identifier oa_none" title="none"> <a style="color:black" title="1953989" target="_blank" href="http://www.matarka.hu/egy-kozlemeny-oldala.php?MatarkaID=1953989"> Matarka </a> </span> </span> <div class="publication-citation" style="margin-left: 0.5cm;"> <span title="Nyilvános idézőközlemények összesen, említések nélkül" class="citingPub-count">Nyilvános idéző összesen: 2</span> | Független: 1 | Függő: 1 | Nem jelölt: 0 | WoS jelölt: 1 | Scopus jelölt: 1 | WoS/Scopus jelölt: 1 | DOI jelölt: 1 </div> <div class="publication-citation"> <a target="_blank" href="/api/publication?cond=citations.related;eq;2007251&sort=publishedYear,desc&sort=title"> Idézett közlemények száma: 3 </a> </div> <div class="mtid"><span class="long-pub-mtid">Közlemény: 2007251</span> | <span class="status-data status-ADMIN_APPROVED"> Admin láttamozott </span> <span class="oldId">Régi azonosító: 2007251</span> | Forrás Idéző | <span class="type-subtype">Folyóiratcikk ( Szakcikk ) </span> | <span class="pub-category">Tudományos</span> | <span class="publication-sourceOfData">kézi felvitel</span> </div> <div class="lastModified">Utolsó módosítás: 2018.10.11. 09:23 WoS import (admin) </div> </div></div>