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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.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.
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Key words:
- C*-algebrapositive elementcomparison theory /
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