| 实Banach代数的表示 |
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| 引用本文： | 李忠艳,李民丽. 实Banach代数的表示[J]. 数学杂志, 2008, 28(2): 129-136 |
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| 作者姓名： | 李忠艳 李民丽 |
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| 作者单位： | 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 |
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| 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.
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| 关 键 词： | 实Banach*-代数 C*-半范数 不可约表示 real Banach*-algebras C*-semi-norms irreducible representation Banach 数的表示 BANACH ALGEBRAS REAL extensions results equivalent conditions irreducible representations good characters used state space defined discussion theory general Hermitian real |
| 文章编号： | 0255-7797（2008）02-0129-08 |
| 收稿时间： | 2005-06-21 |
| 修稿时间： | 2006-04-19 |
REPRESENTATIONS OF REAL BANACH ALGEBRAS |
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| LI Zhong-yan,LI Min-li. REPRESENTATIONS OF REAL BANACH ALGEBRAS[J]. Journal of Mathematics, 2008, 28(2): 129-136 |
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| Authors: | LI Zhong-yan LI Min-li |
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| Abstract: | 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. |
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| Keywords: | real Banach*-algebras C*-semi-norms irreducible representation |
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