Banach Algebras and the General Theory of *-Algebras
Volume 2. *-Algebras
- Author: Theodore W. Palmer, University of Oregon
This is the second volume of a two-volume set that 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 which underlie the theory of Banach algebras and *-algebras. Proofs are presented in complete detail at a level accessible to graduate students. The books will become the standard reference for the general theory of *-algebras. This second volume deals with *-algebras. Chapter 9 develops the theory of *-algebras without additional restrictions. Chapter 10 proves nearly all the results previously known for Banach *-algebras and hermitian Banach *-algebras for *-algebras with various essentially algebraic restrictions. Chapter 11 restates the previous results in terms of Banach *-algebras and uses them to prove results explicitly involving the complete norm. Chapter 12 is devoted to locally compact groups and the *-algebras related to them.Read more
- Comprehensive overview of latest results on Banach
- -algebras often with simplified proofs
- Contains a wealth of historical comments, background material, examples, and an extensive bibliography
Reviews & endorsements
Review of the hardback: 'It will become a standard reference …' George Willis, Journal of London Mathematical SocietySee more reviews
Review of the hardback: 'This volume (as well as the first one) is written in a lucid, easily readable style (for graduate students). A number of examples and historical comments enlighten the abstract theoretical discussion. The volume contains a very rich 'bibliography' (on 109 pages!). This two-volume monograph is warmly recommended to graduate students and researchers interested in Banach algebras and *-algebras.' Acta. Sci. Math.
Review of the hardback: 'With a bibliography of more than 100 pages, these two volumes will form an excellent reference for the subject.' Mathematika
Review of the hardback: 'It is immediately obvious that this is a mammoth work … the author has a truly remarkable knowledge of the literature, and this has been assimilated into the text.' Proceedings of the Edinburgh Mathematical Society
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- Date Published: November 2013
- format: Adobe eBook Reader
- isbn: 9781107108189
- availability: This ISBN is for an eBook version which is distributed on our behalf by a third party.
Table of Contents
10. Special *-algebras
11. Banach *-algebras
12. Locally compact groups and their *-algebras
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