Functional Analysis: An Introduction / Edition 1

Functional Analysis: An Introduction / Edition 1

by Yuli Eidelman, Vitali D. Milman, Antonis Tsolomitis
     
 

ISBN-10: 0821836463

ISBN-13: 9780821836460

Pub. Date: 01/28/2004

Publisher: American Mathematical Society

The goal of this textbook is to provide 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

Overview

The goal of this textbook is to provide 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 it is as self-contained as possible. The only prerequisites for the first part are minimal amounts of linear algebra and calculus. However, for the second course (Part II), it is useful to have some knowledge of topology and measure theory. Each chapter is followed by numerous exercises, whose solutions are given at the end of the book.

Product Details

ISBN-13:
9780821836460
Publisher:
American Mathematical Society
Publication date:
01/28/2004
Series:
Graduate Studies in Mathematics Series, #66
Edition description:
New Edition
Pages:
322
Product dimensions:
7.10(w) x 10.20(h) x 0.90(d)

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