实Banach代数的表示(英文)  

REPRESENTATIONS OF REAL BANACH ALGEBRAS

作　　者：李忠艳[1] 李民丽[2] 

机构地区：[1]华北电力大学数理系,北京102206 [2]首都师范大学数学系,北京100037

出　　处：《数学杂志》2008年第2期129-136,共8页Journal of Mathematics

基　　金：the NSF of Beijing (1022004);the Foundation of organization depart ment in Beijing Municipal Party Committee;Doctorial Science Foundation of North China Electric Power University

摘　　要：本文研究了对任意厄米实Banach*-代数的表示理论进行系统研究.利用对该类代数所定义的一般态空间展开讨论.获得了该类代数上可表示泛函的一系列好的性质,进而给出了不可约表示的等价刻画.这些结果将Naimark、Gaur等人的工作进行了推广.In this paper, we give a systematic discussion on representation theory of general Hermitian real Banach^＊-algebras. A general state space on these algebras is defined, and is used to depict the representation. Some good characters of representable functionals on these algebras are obtained. The equivalent conditions on irreducible representations are given. These are extensions of the results of Naimark and Gaur.

关 键 词：实Banach^＊-代数 C^＊-半范数 不可约表示 

分 类 号：O177.1[理学—数学]