Banach Spaces and Descriptive Set Theory : Selected Topics

This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact t...

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Главный автор: Dodos, Pandelis, 1974-
Формат: Livre numérique
Язык:Anglais
Опубликовано: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
Редактирование:1st ed. 2010.
Серии:Lecture Notes in Mathematics 1993
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Примечание: L'impression du document génère 171 p.
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Edition sous un autre format:• Banach spaces and descriptive set theory, selected topics, Pandelis Dodos, Heidelberg, Springer, 2010, 1 vol. (XI-161 p.), Lecture notes in mathematics, 978-3-642-12152-4
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Итог:This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous intermediate results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective
Примечание:L'impression du document génère 171 p.
Archives Springer e-books (Licence nationale)
Archives Springer e-books (Licence nationale)
Библиография:Bibliogr. Index
ISBN:9783642121531
ISSN:1617-9692
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