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

Theodore W. Palmer (Autor)

Buch | Softcover

812 Seiten

2009
Cambridge University Press (Verlag)
978-0-521-12410-2 (ISBN)

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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 emphasises the role of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. This first volume 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 complex algebras rather than topological algebras. In both volumes proofs are presented in complete detail at a level accessible to graduate students. In addition, the books contain a wealth of historical comments, background material, examples, particularly in noncommutative harmonic analysis, and an extensive bibliography. Together these books will become the standard reference for the general theory of *-algebras.

1. Introduction to normed algebras: examples; 2. The spectrum; 3. Commutative algebras and functional calculus; 4. Ideals, representations and radicals; 5. Approximate identities and factorisation; 6. Automatic continuity; 7. Structure spaces; 8. Algebras with minimal ideals; Bibliography; Index; Symbol index.

Erscheint lt. Verlag	3.12.2009
Reihe/Serie	Encyclopedia of Mathematics and its Applications
Verlagsort	Cambridge
Sprache	englisch
Maße	156 x 234 mm
Gewicht	1120 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Algebra
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
ISBN-10	0-521-12410-7 / 0521124107
ISBN-13	978-0-521-12410-2 / 9780521124102
Zustand	Neuware