Functional analysis and infinite-dimensional geometry

Author(s)

• Fabian, Marián J.

Bibliographic Information

Functional analysis and infinite-dimensional geometry

Marián Fabian ... [et al.]

（CMS books in mathematics, 8）

Springer, c2001

• : pbk

Note

Includes bibliographical references and index

Description and Table of Contents

Description

This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.

Table of Contents

Preface * 1 Basic Concepts in Banach Spaces * 2 Hahn-Banach and Banach Open Mapping Theorems * 3 Weak Topologies * 4 Locally Convex Spaces * 5 Structure of Banach Spaces * 6 Schauder Bases * 7 Compact Operators on Banach Spaces * 8 Differentiability of Norms * 9 Uniform Convexity * 10 Smoothness and Structure * 11 Weakly Compactly Generated Spaces * 12 Topics in Weak Toplogy * References * Index

by "Nielsen BookData"

Details

• NCID: BA52750652
• ISBN:
  • 9780387952192
  • 9781441929129
• LCCN: 00053773
• Country Code: us
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: New York
• Pages/Volumes: ix, 451 p.
• Size: 25 cm
• Classification:
  • LCC : QA320
  • DC21 : 515/.7
• Subject Headings:
  • LCSH : Functional analysis
  • LCSH : Banach spaces
• Parent Bibliography ID:
  • BA46610557