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Functional analysis

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Functional analysisby S. Kesavan.
作者:	Kesavan, S.
出版者:	Singapore :Springer Nature Singapore :2023.
面頁冊數:	x, 290 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
標題:	Functional analysis.
電子資源:	https://doi.org/10.1007/978-981-19-7633-9
ISBN:	9789811976339$q(electronic bk.)

Functional analysis
Kesavan, S.

Functional analysis[electronic resource] /by S. Kesavan. - Second edition. - Singapore :Springer Nature Singapore :2023. - x, 290 p. :ill., digital ;24 cm. - Texts and readings in mathematics,v. 522366-8725 ;. - Texts and readings in mathematics ;74..

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.

ISBN: 9789811976339$q(electronic bk.)

Standard No.: 10.1007/978-981-19-7633-9doiSubjects--Topical Terms:

200585
Functional analysis.

LC Class. No.: QA320 / .K47 2023

Dewey Class. No.: 515.7

Functional analysis
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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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