Banach Algebras and the General Theory of *-Algebras: Volume 2, *-Algebras

Autor: Theodore W. Palmer
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Popis: 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.
Databáze: eBook Collection (EBSCOhost)