Functional Analysis (eng)

Kesavan, S.

ISBN 10: 8195196136 / ISBN 13: 9788195196135

Editore: MP–HIN Hindustan Book Agency, 2022

Codice articolo SS8DU8LDXW

Riassunto:

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.

Dati bibliografici

Titolo: Functional Analysis (eng)
Casa editrice: MP?HIN Hindustan Book Agency
Data di pubblicazione: 2022
Legatura: Brossura
Condizione: new
Edizione: seconda edizione