Uniform Algebras / Edition 2

Uniform Algebras / Edition 2

by Theodore W. Gamelin
     
 

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ISBN-10: 0821840495

ISBN-13: 9780821840498

Pub. Date: 11/01/2005

Publisher: American Mathematical Society

A classical problem in analysis is to find conditions under which a given complex-valued function on a topological space can be uniformly approximated by elements of a prescribed algebra of functions on this set. It turns out that an important role in solving this problem is played by uniform algebras, which constitute an important and interesting class of

Overview

A classical problem in analysis is to find conditions under which a given complex-valued function on a topological space can be uniformly approximated by elements of a prescribed algebra of functions on this set. It turns out that an important role in solving this problem is played by uniform algebras, which constitute an important and interesting class of commutative Banach algebras. The present book is devoted to the detailed study of uniform algebras. In addition to using methods and results of the theory of Banach algebras (the structure of the space of maximal ideals), the theory of uniform algebras is related to the theory of analytic functions, so that some of the deepest results about uniform algebras involve applying the theory of analytic functions in several variables. A significant part of the book is devoted to this important interplay between uniform algebras and analytic function theory. The prerequisites for reading this volume are real analysis and basic notions on the theory of Banach spaces.

Product Details

ISBN-13:
9780821840498
Publisher:
American Mathematical Society
Publication date:
11/01/2005
Series:
AMS Chelsea Publishing Series, #311
Pages:
269
Product dimensions:
6.10(w) x 9.20(h) x 0.60(d)

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