| 实厄米Banach*-代数 |
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| 引用本文： | 李忠艳,李民丽. 实厄米Banach*-代数[J]. 应用泛函分析学报, 2006, 8(1): 83-89 |
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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(北京)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： | 对任意实厄米的B anach*-代数进行系统研究,即对不需任何附加条件限制的代数进行研究,讨论方法与传统的假定代数具有单位元和*-运算是连续的两个重要假定条件下的方法不同.
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| 关 键 词： | 实厄米的Banach*-代数 实厄米泛函 C*-半范数 不可约*-表示 |
| 文章编号： | 1009-1327（2006）01-0083-07 |
| 收稿时间： | 2004-11-30 |
| 修稿时间： | 2004-11-30 |
Hermitian Real Banach*-algebras |
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| LI Zhong-yan,LI Min-li. Hermitian Real Banach*-algebras[J]. Acta Analysis Functionalis Applicata, 2006, 8(1): 83-89 |
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| Authors: | LI Zhong-yan LI Min-li |
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| Abstract: | Hermitian real Banach~*-algebras play an importantpole in characterizing the axioms for real C~*-algebras,it is necessary to study these algebras.In this paper,general Hermitian real Banach~*-algebras, which may neither have identities nor their involutions are continuous,were discussed systematically.The method of study is different from the traditional way that have the two presumes algebras have identities and their involutions are continuous. |
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| Keywords: | Hermitian real Banach~*-algebras real Hermitian functionals C~*-semi-norms irreducible~*-representation |
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