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Banach Spaces and Descriptive Set Theory: Selected Topics (Lecture Notes in Mathematics)

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 | #5997610 in Books |  2010-05-10 | Original language:English | PDF # 1 |  9.25 x.41 x6.10l,.58 | File type: PDF | 168 pages

|| ||From the reviews:|“The book under review … is mainly focused on the author’s work on characterizations of the existence of universal elements in subclasses of separable Banach spaces … . The book collects the most important of these

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 certai...

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