Banach Space Theory The Basis for Linear and Nonlinear Analysis /

Banach Space Theory The Basis for Linear and Nonlinear Analysis /

Banach spaces provide a framework for linear and nonlinear functional analysis, operator theory, abstract analysis, probability, optimization and other branches of mathematics. This book introduces the reader to linear functional analysis and to related parts of infinite-dimensional Banach space the...

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Bibliographic Details
Main Authors: Fabian, Marián (Author), Habala, Petr (Author), Hájek, Petr (Author), Montesinos, Vicente (Author), Zizler, Václav (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:English
Published: New York, NY : Springer New York, 2011.
Series:CMS Books in Mathematics, Ouvrages de mathématiques de la SMC,
Subjects:
Mathematics.
Functional analysis.
Topology.
Functional Analysis.
Online Access:Full Text via HEAL-Link
Table of Contents:
  • Preface
  • Basic Concepts in Banach Spaces
  • Hahn-Banach and Banach Open Mapping Theorems
  • Weak Topologies and Banach Spaces
  • Schauder Bases
  • Structure of Banach Spaces
  • Finite-Dimensional Spaces
  • Optimization
  • C^1 Smoothness in Separable Spaces
  • Superreflexive Spaces
  • Higher Order Smoothness
  • Dentability and differentiability
  • Basics in Nonlinear Geometric Analysis
  • Weakly Compactly Generated Spaces
  • Topics in Weak Topologies on Banach Spaces
  • Compact Operators on Banach Spaces
  • Tensor Products
  • Appendix
  • References
  • Symbol Index
  • Subject Index
  • Author Index.

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