# Banach Algebras And The General Theory Of *-algebras: Volume 1, Algebras And Banach Algebras (encyclopedia Of Mathematics And Its Applications)

by Theodore W. Palmer /
1994 / English / DjVu

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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volume, which contains previously unpublished results, is an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.

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volume, which contains previously unpublished results, is an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.