Functional analysis / S. Kesavan.

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...

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Bibliographic Details
Main Author: Kesavan, S.
Format: eBook
Language:English
Published: Singapore : Springer, 2023.
Edition:2nd ed.
Series:Texts and readings in mathematics ; 52.
Subjects:
Online Access:Click for online access

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245 1 0 |a Functional analysis /  |c S. Kesavan. 
250 |a 2nd ed. 
264 1 |a Singapore :  |b Springer,  |c 2023. 
300 |a 1 online resource (278 p.). 
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490 1 |a Texts and Readings in Mathematics ;  |v v.52 
505 0 |a Preliminaries -- Normed Linear Spaces -- Hahn-Banach Theorems -- Baires Theorem and Applications -- Weak and Weak* Topologies -- L 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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776 0 8 |i Print version:  |a Kesavan, S.  |t Functional Analysis  |d Singapore : Springer,c2023 
830 0 |a Texts and readings in mathematics ;  |v 52. 
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