| Pontrjagin空间上算子代数理想的对称性 |
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| 引用本文： | 杨海涛.Pontrjagin空间上算子代数理想的对称性[J].数学学报,2004,47(5):915-920. |
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| 作者姓名： | 杨海涛 |
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| 作者单位： | 复旦大学数学研究所,上海,200433;台州学院数学系,临海,317000 |
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| 摘 要： | 本文证明了非退化的JC*-代数和非退化的JVN-代数的理想必是对称的.对退化的JC*-代数给出两种对称的理想和两种非对称的理想,说明了π1空间上JVN-代数除了第三类代数外无非对称理想,还构造两个关于JC*-代数理想对称性的例子.
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| 关 键 词： | Pontrjagin空间 JVN-代数 JC*-代数 |
| 文章编号： | 0583-1431(2004)05-0915-06 |
On the Symmetry of Ideal of Operator Algebras on Pontrjagin Spaces |
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| Hai Tao YANG.On the Symmetry of Ideal of Operator Algebras on Pontrjagin Spaces[J].Acta Mathematica Sinica,2004,47(5):915-920. |
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| Authors: | Hai Tao YANG |
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| Institution: | Hai Tao YANG
(Institute of Mathematics, Fudan University, Shanghai 200433, P. R. China) (Department of Mathematics, Taizhou University, Linhai 317000, P. R. China) |
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| Abstract: | We show that the ideals of non-degenerate JC*-algebras and JVN-algebras are symmetrc. We alsol give two class of symmetric and non-symmetric ideal, and show that the JVN-algebras on the π1 spaces have not non-symmetric ideal without third class algebras. Finally, we construct two examples of ideal symmtry of JC*-algebras. |
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| Keywords: | Pontrjagin spaces JV N-algenra JC~*-algebras |
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