Functional Analysis (Hindustan Book Agency) - Softcover

S. Kesavan (author)

Softcover

ISBN 10: 8195196136 ISBN 13: 9788195196135

Publisher: Hindustan Book Agency, 2023

Synopsis

This book is suited for a first course on Functional Analysis at the masters level. Efforts have been made to illustrate the use of various results via examples taken from differential equations and the calculus of variations, either through brief sections or through exercises. So, this book will be particularly useful for students who aspire to a research career in the applications of mathematics.

Special emphasis has been given to the treatment of weak topologies and their applications to notions like reflexivity, separability and uniform convexity. The chapter on Lebesgue spaces includes a section devoted to the simplest examples of Sobolev spaces. The chapter on compact operators includes the spectral theory of compact self-adjoint operators on a Hilbert space.

Each chapter concludes with a large selection of exercises of varying degrees of difficulty. They often provide examples or counter-examples to illustrate the optimality of the hypotheses of various theorems proved in the text, or develop simple versions of theories not developed therein.

In this (second) edition, the book has been completely overhauled, without altering its original structure. Proofs of many results have been rewritten for greater clarity of exposition. Many examples have been added to make the text more user-friendly. Several new exercises have been added.

Edition details

• Publisher: Hindustan Book Agency
• Publication date: 2023
• Language: English
• ISBN 10: 8195196136
• ISBN 13: 9788195196135
• Binding: Paperback
• Edition number: 2
• Number of pages: 300