Functional Analysis and Infinite-Dimensional Geometry / Edition 1

Functional Analysis and Infinite-Dimensional Geometry / Edition 1

by Marian Fabian, Petr Habala, Petr Hajek, Vicente Montesinos Santalucia
     
 

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ISBN-10: 0387952195

ISBN-13: 9780387952192

Pub. Date: 05/25/2001

Publisher: Springer New York

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.

Overview

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.

Product Details

ISBN-13:
9780387952192
Publisher:
Springer New York
Publication date:
05/25/2001
Series:
CMS Books in Mathematics Series
Edition description:
2001
Pages:
451
Product dimensions:
9.21(w) x 6.14(h) x 1.00(d)

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

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