Banach Algebras and the General Theory of Algebras (2-Volume Set) (Encyclopedia of Mathematics & Its Applications) （1ST）

Palmer, Theodore W.

Cambridge Univ Pr（2009/12発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 835 p.
• 言語 ENG
• 商品コード 9780521152617
• DDC分類 512

Full Description

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.

Contents

9. *-algebras; 10. Special *-algebras; 11. Banach *-algebras; 12. Locally compact groups and their *-algebras; Bibliography; Index; Symbol index.