TY  - BOOK
AU  - Palmer,Theodore W.
TI  - Banach algebras and the general theory of *-algebras
T2  - Encyclopedia of mathematics and its applications
SN  - 9780511574757 (ebook)
AV  - QA326 .P35 2001
U1  - 512/.55 20
PY  - 2001///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Banach algebras
N1  - Title from publisher's bibliographic system (viewed on 05 Oct 2015)
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511574757
ER  -