Topics in Banach Space Theory

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Assuming only a basic knowledge of functional analysis, the book gives the reader a self-contained overview of the ideas and techniques in the development of modern Banach space theory. Special emphasis is placed on the study of the classical Lebesgue spaces Lp (and their sequence space analogues) a...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Albiac, Fernando (Author), Kalton, Nigel J. (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: New York, NY : Springer New York : Imprint: Springer, 2006.
Edition:1st ed. 2006.
Series:Graduate Texts in Mathematics, 233
Subjects:
Functional analysis.
Functional Analysis.
Online Access:Texto Completo
Table of Contents:
  • Bases and Basic Sequences
  • The Classical Sequence Spaces
  • Special Types of Bases
  • Banach Spaces of Continuous Functions
  • L1(?)-Spaces and C(K)-Spaces
  • The Lp-Spaces for 1 ? p < ?
  • Factorization Theory
  • Absolutely Summing Operators
  • Perfectly Homogeneous Bases and Their Applications
  • ?p-Subspaces of Banach Spaces
  • Finite Representability of ?p-Spaces
  • An Introduction to Local Theory
  • Important Examples of Banach Spaces.

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