华东师范大学学报(自然科学版) ›› 2010, Vol. 2010 ›› Issue (1): 103-107.

• 应用数学与基础数学 • 上一篇    下一篇

C*-代数正元的比较

张一凡,胡善文   

  1. 华东师范大学数学系, 上海200241
  • 收稿日期:2009-06-15 修回日期:2009-08-01 出版日期:2010-01-25 发布日期:2010-01-25
  • 通讯作者: 张一凡

Comparison of positive elements in C*-algebras (Chinese)

ZHANG Yi-fan, HU Shan-wen   

  1. Department of Mathematics, East China Normal University, Shanghai 200241, China
  • Received:2009-06-15 Revised:2009-08-01 Online:2010-01-25 Published:2010-01-25
  • Contact: ZHANG Yi-fan

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摘要： 讨论由林华新引进的一种 C*-代数的正元的比较理论.以算子理论的方法详细讨论原始定义中所包含的具体信息, 得到这种比较理论的等价定义,并给出常用的基本性质和初步的结果. 最后讨论了与通常投影比较的异同以及给出对单C*-代数的一种描述.

关键词: C*-代数, 正元, 比较理论, C*-代数, 正元, 比较理论

Abstract: In this paper, we discussed a kind of comparison theory introduced by Lin Huaxin. We first used operator theory to discuss hiding information in the original definition and then obtain an equivalent definition of this comparison theory. Also, some useful properties and results are presented. In addition, we gave an interesting property about projections that it does not have and a characterization of simple C*-algebras.

Key words: positive element, comparison theory, C*-algebra, positive element, comparison theory

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