Functional Analysis Second Edition /

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 differe...

Olles dieđut

Furkejuvvon:
Bibliográfalaš dieđut
Váldodahkki: Kesavan, S. (Dahkki)
Searvvušdahkki: SpringerLink (Online service)
Materiálatiipa: Elektrovnnalaš E-girji
Giella:eaŋgalasgiella
Almmustuhtton: Singapore : Springer Nature Singapore : Imprint: Springer, 2023.
Preanttus:2nd ed. 2023.
Ráidu:Texts and Readings in Mathematics, 52
Fáttát:
Liŋkkat:https://doi.org/10.1007/978-981-19-7633-9
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245 1 0 |a Functional Analysis  |h [electronic resource] :  |b Second Edition /  |c by S. Kesavan. 
250 |a 2nd ed. 2023. 
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300 |a 1 online resource (X, 290 p.). 
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490 1 |a Texts and Readings in Mathematics,  |x 2366-8725 ;  |v 52 
505 0 |a Preliminaries -- Normed Linear Spaces -- Hahn-Banach Theorems -- Baire’s Theorem and Applications -- Weak and Weak* Topologies -- Lᵖ Spaces -- Hilbert Spaces -- Compact Operators. 
520 |a 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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650 0 |a Functional analysis. 
650 1 4 |a Functional Analysis. 
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830 0 |a Texts and Readings in Mathematics,  |x 2366-8725 ;  |v 52 
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