Functional Analysis with Applications / Svetlin G. Georgiev, Khaled Zennir.

Format:

Book

Author/Creator:

Georgiev, Svetlin, Author.

Zennir, Khaled, Author.

Series:

De Gruyter textbook.

De Gruyter Textbook

Language:

English

Subjects (All):

Functional analysis.

Physical Description:

1 online resource (404 pages).

Place of Publication:

Berlin ; Boston : De Gruyter, [2019]

Language Note:

In English.

Summary:

This book on functional analysis covers all the basics of the subject (normed, Banach and Hilbert spaces, Lebesgue integration and spaces, linear operators and functionals, compact and self-adjoint operators, small parameters, fixed point theory) with a strong focus on examples, exercises and practical problems, thus making it ideal as course material but also as a reference for self-study.

Contents:

Frontmatter

Preface

Contents

1. Vector, metric, normed and Banach spaces

2. Lebesgue integration

3. The Lp spaces

4. Linear operators

5. Linear functionals

6. Relatively compact sets in metric and normed spaces. Compact operators

7. Self-adjoint operators in Hilbert spaces

8. The method of the small parameter

9. The parameter continuation method

10. Fixed-point theorems and applications

A. Sets and mappings

B. Functions of bounded variation

Bibliography

Index

Notes:

Description based on online resource; title from PDF title page (publisher's Web site, viewed 06. Apr 2020)

ISBN:

9783110657722

3110657724

OCLC:

1104725542