Functional Analysis: An Introduction (Graduate Studies in Mathematics) (Graduate Studies in Mathematics, 66)

Yuli Eidelman; Vitali Milman; Antonis Tsolomitis

ISBN 10: 0821836463 / ISBN 13: 9780821836460

Published by American Mathematical Society, 2004

About this Item

Seller Inventory # STM.EG

Bibliographic Details

Title: Functional Analysis: An Introduction (...

Publisher: American Mathematical Society

Publication Date: 2004

Binding: Hardcover

Condition: good

About this title

Synopsis:

This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators. The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book. The amount of mathematics presented in the book can well be absorbed in a year's study and will provide a sound basis for future reading. It is suitable for graduate students and researchers interested in operator theory and functional analysis.

Review:

“This book contains a wealth of material. Each chapter concludes with a comprehensive set of exercises that serve to illustrate the theory. Solutions to the exercises are given in the final section.” -- Mathematical Reviews