Banach Spaces and Descriptive Set Theory: Selected Topics

• Main Author: Dodos, Pandelis (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2010.
• Series: Lecture Notes in Mathematics, 1993
• Subjects: Mathematics.; Functional analysis.; Mathematical logic.; Discrete mathematics.; Combinatorics.; Discrete Mathematics.; Functional Analysis.; Mathematical Logic and Foundations.

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...

Table of 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.