| 实C~*-代数中*运算的唯一性 |
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| 引用本文： | 李忠艳. 实C~*-代数中*运算的唯一性[J]. 数学学报, 2000, 43(4): 611-614. DOI: cnki:ISSN:0583-1431.0.2000-04-004 |
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| 作者姓名： | 李忠艳 |
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| 作者单位： | 中国科学院数学与系统科学研究院数学研究所北京100080 |
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| 摘 要： | 本文指出：如果有两个*运算使得同一个实Banach代数均成为实C*-代数，则这两个*运算必然是相同的，即实C*-代数中*运算是唯一的．
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| 关 键 词： | 实~C*-代数 实态空间 厄米集 反厄米集 |
| 文章编号： | 0583-1431(2000)04-0611-04 |
| 修稿时间： | 1999-05-04 |
The Uniqueness of * Operation in Real C~*-Algebras |
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| LIZhong-yan. The Uniqueness of * Operation in Real C~*-Algebras[J]. Acta Mathematica Sinica, 2000, 43(4): 611-614. DOI: cnki:ISSN:0583-1431.0.2000-04-004 |
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| Authors: | LIZhong-yan |
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| Affiliation: | LI Zhong-yan (Institute of Mathematics, Academy of Mathematics and Systems Sciences,Chinese Academy of Sciences, Beijing 100080, P. R. China) (Fax: (010) 62568356; E-mail: Lizy@math08.math.ac.cn) |
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| Abstract: | In this paper, we point out that the two * operations must be same if there are two * operations which make the same one real Banach algebra be a real C*-algebra at the same time. i.e. the * operation in a real C*-algebra is uniquely determined. |
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| Keywords: | Real C~*-algebra Real state spaces Hermitian set Skew-hermitian set |
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