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100427s2010 gw | s |||| 0|eng d |
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|a 9783642121531
|9 978-3-642-12153-1
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|a 10.1007/978-3-642-12153-1
|2 doi
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|a QA319-329.9
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|a PBKF
|2 bicssc
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|a MAT037000
|2 bisacsh
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|a 515.7
|2 23
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|a Dodos, Pandelis.
|e author.
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|a Banach Spaces and Descriptive Set Theory: Selected Topics
|c by Pandelis Dodos.
|h [electronic resource] /
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|a Berlin, Heidelberg :
|b Springer Berlin Heidelberg,
|c 2010.
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|a X, 160p.
|b online resource.
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|a text
|b txt
|2 rdacontent
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|a computer
|b c
|2 rdamedia
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|a online resource
|b cr
|2 rdacarrier
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|a text file
|b PDF
|2 rda
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|a Lecture Notes in Mathematics,
|v 1993
|x 0075-8434 ;
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|a 1. Basic concepts -- 2. The space of separable Banach spaces -- 3. The l2 Baire sum -- 4. Amalgamated spaces -- 5. Zippin's embedding Theorem -- 6. The Bourgain-Pisier construction -- 7. Strongly bounded classes.
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|a 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.
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|a Mathematics.
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|a Functional analysis.
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|a Combinatorics.
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|a Logic, Symbolic and mathematical.
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|a Mathematics.
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|a Functional Analysis.
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|a Mathematical Logic and Foundations.
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|a Combinatorics.
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|a SpringerLink (Online service)
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|t Springer eBooks
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|i Printed edition:
|z 9783642121524
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830 |
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|a Lecture Notes in Mathematics,
|v 1993
|x 0075-8434 ;
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|u https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-642-12153-1
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|a ZDB-2-SMA
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|a ZDB-2-LNM
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|a Mathematics and Statistics (Springer-11649)
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