| C^＊-代数中的无限正元 |
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| 引用本文： | 王琳.C^＊-代数中的无限正元[J].青岛大学学报(自然科学版),2008,21(2):10-13. |
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| 作者姓名： | 王琳 |
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| 作者单位： | 同济大学数学系,上海,200092 |
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| 摘 要： | 讨论了判定C^＊-代数中的正元是无限元的几个等价条件，并且证明了E．Kirchkerg和M．Rordam给出的无限正元的定义在单C^＊-代数情形下与林华新给出的无限元定义是一致的。
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| 关 键 词： | C^＊-代数 单C^＊-代数 无限正元 比较关系 |
Infinite Positive Elements in C*-Algebras |
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| WANG Lin.Infinite Positive Elements in C*-Algebras[J].Journal of Qingdao University(Natural Science Edition),2008,21(2):10-13. |
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| Authors: | WANG Lin |
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| Institution: | WANG Lin (Department of Mathematics, Tongji University, Shanghai 200092) |
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| Abstract: | Several equivalent conditions for infinite positive elements in C^＊-algebras are studied in this paper. It is shown that the definition of infinite positive element given by E. Kirchkerg and M. Rordam agrees with the definition by Lin Huaxin when the C^＊-algebra is simple. |
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| Keywords: | C^＊-algebra Simple C^＊-algebra Infinite positive element Comparison relation |
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