Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras

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Banach Algebras and the General Theory of *-Algebras: Volume 1, Algebras and Banach Algebras is written by Theodore W. Palmer and published by Cambridge University Press. It's available with International Standard Book Number or ISBN identification 0521366372 (ISBN 10) and 9780521366373 (ISBN 13).

This is the first volume of a two volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. This account emphasizes the role of *-algebraic structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. The first volume, which contains previously unpublished results, is an independent, self-contained reference on Banach algebra theory. Each topic is treated in the maximum interesting generality within the framework of some class of complex algebras rather than topological algebras. Proofs are presented in complete detail at a level accessible to graduate students. The book contains a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Volume II is forthcoming.