Banach Algebras and the General Theory of *-Algebras

This second volume of a two-volume set provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. The author emphasizes the roles of *-algebra structure and explores the algebraic results that underlie the theory of Banach algebras and *-algebras. Proofs are presented in complete detail at a level accessible to graduate students. The books contain a wealth of historical comments, background material, examples, and an extensive bibliography. Together they constitute the standard reference for the general theory of *-algebras. This second volume deals with *-algebras. Noteworthy chapters develop the theory of *-algebras without additional restrictions, going well beyond what has been proved previously in this context and describe locally compact groups and the *-algebras related to them.

Reviews & endorsements

"This is a remarkable book...it provides the most detailed and comprehensive treatment of complex Banch*-algebras yet written...The author's writing stlye is straightforward and easy to read...Indeed, the completenedd of the exposition makes the bopok a valuable source for specialists and researchers." Mathematical Reviews

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Product details

• Date Published: April 2001
• format: Hardback
• isbn: 9780521366380
• length: 834 pages

• dimensions: 242 x 166 x 51 mm
• weight: 1.288kg
• availability: Unavailable - out of print November 2009