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Record Nr. |
UNINA9910674351803321 |
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Autore |
Kesavan S. |
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Titolo |
Functional analysis / / S. Kesavan |
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Pubbl/distr/stampa |
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Singapore : , : Springer, , [2023] |
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©2023 |
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ISBN |
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Edizione |
[2nd ed. 2023.] |
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Descrizione fisica |
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1 online resource (278 pages) |
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Collana |
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Texts and Readings in Mathematics, , 2366-8725 ; ; 52 |
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Disciplina |
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Soggetti |
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Functional analysis |
Functional analysis - Research |
Anàlisi funcional |
Llibres electrònics |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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Preliminaries -- Normed Linear Spaces -- Hahn-Banach Theorems -- Baire’s Theorem and Applications -- Weak and Weak* Topologies -- Lᵖ Spaces -- Hilbert Spaces -- Compact Operators. |
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Sommario/riassunto |
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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. |
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