Banach algebras and the general theory of *-algebras.
Palmer, Theodore W.,
Banach algebras and the general theory of *-algebras. Volume 2, *-Algebras / Banach Algebras & the General Theory of *-Algebras Theodore W. Palmer. - Cambridge : Cambridge University Press, 2001. - 1 online resource (xi, pages 795-1616) : digital, PDF file(s). - Encyclopedia of mathematics and its applications ; volume 79 . - Encyclopedia of mathematics and its applications ; v. 79. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9780511574757 (ebook)
Banach algebras.
QA326 / .P35 2001
512/.55
Banach algebras and the general theory of *-algebras. Volume 2, *-Algebras / Banach Algebras & the General Theory of *-Algebras Theodore W. Palmer. - Cambridge : Cambridge University Press, 2001. - 1 online resource (xi, pages 795-1616) : digital, PDF file(s). - Encyclopedia of mathematics and its applications ; volume 79 . - Encyclopedia of mathematics and its applications ; v. 79. .
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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.
9780511574757 (ebook)
Banach algebras.
QA326 / .P35 2001
512/.55