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Technical Banach Spaces and Descriptive Set Theory: Selected Topics

Posted on 2010-04-22




Name:Technical Banach Spaces and Descriptive Set Theory: Selected Topics
ASIN/ISBN:3642121527
Publish Date:2010
Pages:160 pages
File size:1.3 Mb
Publish Date: 2010
ISBN: 3642121527
Pages: 160 pages
File Type: PDF
File Size: 1,3 MB
Other Info: Springer
   Technical Banach Spaces and Descriptive Set Theory: Selected Topics

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Pandelis Dodos, "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 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 left 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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