Uniform Algebras - Hardcover

Gamelin, Theodore W.

Hardcover

ISBN 10: 0828403112 ISBN 13: 9780828403115

Publisher: Chelsea Pub Co, 1984

Synopsis

From the Preface: "The functional-analytic approach to uniform algebras is inextricably interwoven with the theory of analytic functions ... [T]he concepts and techniques introduced to deal with these problems [of uniform algebras], such as "peak points" and "parts," provide new insights into the classical theory of approximation by analytic functions. In some cases, elegant proofs of old results are obtained by abstract methods. The new concepts also lead to new problems in classical function theory, which serve to enliven and refresh that subject. In short, the relation between functional analysis and the analytic theory is both fascinating and complex, and it serves to enrich and deepen each of the respective disciplines."

This volume includes a Bibliography, List of Special Symbols, and an Index. Each of the chapters is followed by notes and numerous exercises.

About this title

Review

This text is a classical reference on uniform algebras, written by a major expert in the area. ... Gamelin's book is a nice text that any mathematician interested in uniform algebras or related questions should have on his shelves. The book is also interesting for non-specialists. ... These results follow from the beautiful abstract theory developed in the first two chapters of the book, and their proofs differ from the ones in the usual text books on analytic functions. The mathematical exposition in the book is excellent. --Journal of Approximation Theory

Edition details

• Publisher: Chelsea Pub Co
• Publication date: 1984
• ISBN 10: 0828403112
• ISBN 13: 9780828403115
• Binding: Hardcover
• Language: English
• Number of pages: 269