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Banach Spaces Descriptive Set by Dodos Pandelis (14 results)
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Banach Spaces and Descriptive Set Theory : Selected Topics
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Banach Spaces and Descriptive Set Theory: Selected Topics (Lecture Notes in Mathematics, 1993)
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Banach Spaces and Descriptive Set Theory : Selected Topics
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Banach Spaces and Descriptive Set Theory: Selected Topics
Published by Springer, Berlin, Springer Berlin Heidelberg, Springer, 2010
ISBN 10: 3642121527 ISBN 13: 9783642121524
Language: English
£ 36.20
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Add to basketTaschenbuch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC We will consider quite classical properties of Banach spaces, such as '- ing re exive,' 'having separable dual,' 'not containing an isomorphic copy of c ,' 'being non-universal,' etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is 'simple.' The 'simplicity' ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural 'coding' of separable Banach spaces, then we can indeed nd a separable space Y which is universal for the class C and satis es the requirements imposed above.
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Banach Spaces and Descriptive Set Theory: Selected Topics
Published by Berlin Springer Berlin Heidelberg Springer Mai 2010, 2010
ISBN 10: 3642121527 ISBN 13: 9783642121524
Language: English
Seller: BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Germany
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£ 32.98
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Add to basketTaschenbuch. Condition: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC We will consider quite classical properties of Banach spaces, such as '- ing re exive,' 'having separable dual,' 'not containing an isomorphic copy of c ,' 'being non-universal,' etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is 'simple.' The 'simplicity' ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural 'coding' of separable Banach spaces, then we can indeed nd a separable space Y which is universal for the class C and satis es the requirements imposed above. 168 pp. Englisch.
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Condition: New. Print on Demand pp. 182 Illus.
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Banach Spaces and Descriptive Set Theory: Selected Topics
Published by Springer Berlin Heidelberg, 2010
ISBN 10: 3642121527 ISBN 13: 9783642121524
Language: English
£ 31.25
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Add to basketKartoniert / Broschiert. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. - author has been a central player in new developments of this area- This book is a much needed expositionThese notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution .
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Add to basketCondition: New. PRINT ON DEMAND pp. 182.
