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Functional Analysis : Second Edition / by S. Kesavan
(Texts and Readings in Mathematics. ISSN:23668725 ; 52)
版 | 2nd ed. 2023. |
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出版者 | Singapore : Springer Nature Singapore : Imprint: Springer |
出版年 | 2023 |
本文言語 | 英語 |
大きさ | X, 290 p : online resource |
著者標目 | *Kesavan, S author SpringerLink (Online service) |
件 名 | LCSH:Functional analysis FREE:Functional Analysis |
一般注記 | Preliminaries -- Normed Linear Spaces -- Hahn-Banach Theorems -- Baire’s Theorem and Applications -- Weak and Weak* Topologies -- Lᵖ Spaces -- Hilbert Spaces -- Compact Operators This second edition is thoroughly revised and includes several new examples and exercises. Proofs of many results have been rewritten for a greater clarity. While covering all the standard material expected of such a course, efforts have been made to illustrate the use of the topics to study differential equations and calculus of variations. The book includes a chapter on weak topologies and their applications. It also includes a chapter on the Lebesgue spaces, which discusses Sobolev spaces. The book includes a chapter on compact operators and their spectra, especially for compact self-adjoint operators on a Hilbert space. Each chapter has a large collection of exercises in the end, which give additional examples and counterexamples to the results given in the text. This book is suitable for a first course in functional analysis for graduate students who wish to pursue a career in the applications of mathematics HTTP:URL=https://doi.org/10.1007/978-981-19-7633-9 |
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電子ブック | オンライン | 電子ブック |
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Springer eBooks | 9789811976339 |
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EB00223378 |
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データ種別 | 電子ブック |
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分 類 | LCC:QA319-329.9 DC23:515.7 |
書誌ID | 4000986140 |
ISBN | 9789811976339 |