Banach Spaces and Descriptive Set Theory: Selected Topics / by Pandelis Dodos.

Format:

Book

Author/Creator:

Dodos, P. (Pandelis), 1974- author.

Contributor:

SpringerLink (Online service)

Series:

Lecture Notes in Mathematics, 0075-8434 ; 1993.

Lecture Notes in Mathematics, 0075-8434 ; 1993

Language:

English

Subjects (All):

Functional analysis.

Logic, Symbolic and mathematical.

Combinatorial analysis.

Discrete Mathematics.

Functional Analysis.

Mathematical Logic and Foundations.

Combinatorics.

Local Subjects:

Discrete Mathematics.

Functional Analysis.

Mathematical Logic and Foundations.

Combinatorics.

Physical Description:

1 online resource (XII, 168 pages).

Contained In:

Springer eBooks

Place of Publication:

Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.

System Details:

text file PDF

Summary:

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.

Contents:

Basic Concepts

The Standard Borel Space of All Separable Banach Spaces

The ?2 Baire Sum

Amalgamated Spaces

Zippin's Embedding Theorem

The Bourgain-Pisier Construction

Strongly Bounded Classes of Banach Spaces.

Other Format:

Printed edition:

ISBN:

9783642121531

Access Restriction:

Restricted for use by site license.