Methods in the theory of hereditarily indecomposable Banach spaces
| dc.contributor.author | Argyros, S. A. | en |
| dc.contributor.author | Tolias, A. | en |
| dc.date.accessioned | 2015-11-24T17:25:17Z | |
| dc.date.available | 2015-11-24T17:25:17Z | |
| dc.identifier.issn | 0065-9266 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/13016 | |
| dc.rights | Default Licence | - |
| dc.subject | mixed tsirelson spaces | en |
| dc.subject | weakly null sequences | en |
| dc.subject | basic sequence | en |
| dc.subject | operators | en |
| dc.subject | l1 | en |
| dc.subject | universal | en |
| dc.subject | dichotomy | en |
| dc.subject | examples | en |
| dc.subject | sets | en |
| dc.title | Methods in the theory of hereditarily indecomposable Banach spaces | en |
| heal.abstract | A 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.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.secondary | <Go to ISI>://000221217600001 | - |
| heal.identifier.secondary | http://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.journalName | Memoirs of the American Mathematical Society | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2004 | - |
| heal.publisher | American Mathematical Society | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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