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dc.contributor.authorArgyros, S. A.en
dc.contributor.authorTolias, A.en
dc.date.accessioned2015-11-24T17:25:17Z-
dc.date.available2015-11-24T17:25:17Z-
dc.identifier.issn0065-9266-
dc.identifier.urihttps://olympias.lib.uoi.gr/jspui/handle/123456789/13016-
dc.rightsDefault Licence-
dc.subjectmixed tsirelson spacesen
dc.subjectweakly null sequencesen
dc.subjectbasic sequenceen
dc.subjectoperatorsen
dc.subjectl1en
dc.subjectuniversalen
dc.subjectdichotomyen
dc.subjectexamplesen
dc.subjectsetsen
dc.titleMethods in the theory of hereditarily indecomposable Banach spacesen
heal.typejournalArticle-
heal.type.enJournal articleen
heal.type.elΆρθρο Περιοδικούel
heal.identifier.secondary<Go to ISI>://000221217600001-
heal.identifier.secondaryhttp://www.google.gr/books?hl=el&lr=&id=OigKJicQ5L8C&oi=fnd&pg=PA1&dq=Methods+in+the+theory+of+hereditarily+indecomposable+Banach+spaces&ots=8IC51IqrN5&sig=cUPjNe6n87I_crH1OEt--ryx9ZU&redir_esc=y#v=onepage&q=Methods%20in%20the%20theory%20of%20hereditarily%20indecomposable%20Banach%20spaces&f=false-
heal.languageen-
heal.accesscampus-
heal.recordProviderΠανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικώνel
heal.publicationDate2004-
heal.abstractA general method producing Hereditarily Indecomposable (H.I.) Banach spaces is provided. We apply this method to construct a nonseparable H.I. Banach space Y. This space is the dual, as well as the second dual, of a separable H.I. Banach space. Moreover the space of bounded linear operators L(Y) consists of elements of the form lambdaI + W where W is a weakly compact operator and hence it has separable range. Another consequence of the exhibited method is the proof of the complete dichotomy for quotients of H.I. Banach spaces. Namely we show that every separable Banach space Z not containing an isomorphic copy of l(1) is a quotient of a separable H.I. space X. Furthermore the isomorph of Z* into X*, defined by the conjugate operator of the quotient map, is a complemented subspace of X*.en
heal.publisherAmerican Mathematical Societyen
heal.journalNameMemoirs of the American Mathematical Societyen
heal.journalTypepeer reviewed-
heal.fullTextAvailabilityTRUE-
Appears in Collections:Άρθρα σε επιστημονικά περιοδικά ( Ανοικτά). ΜΑΘ

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