| C~*-代数的实完全等距映射 |
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| 引用本文： | 李忠艳,李民丽.C~*-代数的实完全等距映射[J].数学学报,2004,47(1):67-70. |
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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)科学与工程计算研究所,北京,102206
2. 首都师范大学数学系,北京,100037 |
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| 基金项目： | 北京市自然科学基金(1022004)，市教委基金，市委组织部优秀人才专项经费，华北电力大学博士基金资助项目 |
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| 摘 要： | C*-代数的*-同构一定是(完全)等距映射,反之不然.本文证明了C*-代数的实完全等距映射能够完全决定C*-代数*-同构的结论.
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| 关 键 词： | C*-代数 实完全等距映射 *-同构 |
| 文章编号： | 0583-1431(2004)01-0067-04 |
The Real Completely Isometric Maps on C~*-Algebras |
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| Zhong Yan LI.The Real Completely Isometric Maps on C~*-Algebras[J].Acta Mathematica Sinica,2004,47(1):67-70. |
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| Authors: | Zhong Yan LI |
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| Institution: | Zhong Yan LI
(Computing Institute of Science and Engineering, North China Electric Power University (Beijing),
Beijing 102206, P. R. China)
Min Li LI (Department of Mathematics, The Capital Normal University, Beijing 100037, P. R. China) |
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| Abstract: | One *-isomorphism of C*-algebras must be (completely) isometric map, but the inverse is not. In this paper, the result that a real completely isometric map can determine one *-isomorphism of C*-algebras is proved. |
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| Keywords: | C*-algebras Real completely isometric map *-isomorphism |
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