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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Superior document: | Title is part of eBook package: De Gruyter DG Plus eBook-Package 2019 |
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VerfasserIn: | |
Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2019] ©2019 |
Year of Publication: | 2019 |
Language: | English |
Series: | De Gruyter Textbook
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Online Access: | |
Physical Description: | 1 online resource (IX, 393 p.) |
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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 |
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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. |