Introduction to Banach Algebras, Operators, and Harmonic Analysis

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Introduction to Banach Algebras, Operators, and Harmonic Analysis

By H. Garth Dales

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This work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a coherent and accessible introduction to current research topics. The first chapter by Professor Dales introduces the general theory of Banach algebras, which serves as a background to the remaining material. Dr Willis then studies a centrally important Banach algebra, the group algebra of a locally compact group. The remaining chapters are devoted to Banach algebras of operators on Banach spaces: Professor Eschmeier gives all the background for the exciting topic of invariant subspaces of operators, and discusses some key open problems; Dr Laursen and Professor Aiena discuss local spectral theory for operators, leading into Fredholm theory.

Subject: Mathematics & Statistics -> Post-Calculus -> Abstract Algebra

Introduction to Banach Algebras, Operators, and Harmonic Analysis
1st edition
Publisher: Cambridge University Press 11/13/03
Imprint: Cambridge University Press
Language: English

ISBN 10: 0511075634
ISBN 13: 9780511075636
Print ISBN: 9780521828932

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