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

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 practi...

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Bibliographic Details
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2019]
©2019
Year of Publication:2019
Language:English
Series:De Gruyter Textbook
Online Access:
Physical Description:1 online resource (IX, 393 p.)
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Description
Other title: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
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.
Format:Mode of access: Internet via World Wide Web.
ISBN:9783110657722
9783110719567
9783110616859
9783110610765
9783110664232
9783110610406
9783110606362
DOI:10.1515/9783110657722
Access:restricted access
Hierarchical level:Monograph
Statement of Responsibility: Svetlin G. Georgiev, Khaled Zennir.