2-正几乎阶零映射和分解秩

IF 0.7 4区数学 Q2 MATHEMATICS

Journal of Operator Theory Pub Date : 2019-08-09 DOI:10.7900/JOT.2019NOV21.2290

Yasuhiko Sato

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引用次数: 5

摘要

我们考虑C*-代数上的2-正几乎零阶（保持不相交）映射。推广M.Choi关于乘法域的论点，我们为2-正映射提供了几乎零阶的内部刻画。此外，在单位可分C＊-代数分解秩的定义中，还证明了完全正性可以降为2-正性。

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2-positive almost order zero maps and decomposition rank

We consider 2-positive almost order zero (disjointness preserving) maps on C∗-algebras. Generalizing the argument of M. Choi for multiplicative domains, we provide an internal characterization of almost order zero for 2-positive maps. In addition, it is shown that complete positivity can be reduced to 2-positivity in the definition of decomposition rank for unital separable C∗-algebras.

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来源期刊

Journal of Operator Theory 数学-数学

CiteScore

1.30

自引率

12.50%

发文量

审稿时长

12 months

期刊介绍： The Journal of Operator Theory is rigorously peer reviewed and endevours to publish significant articles in all areas of operator theory, operator algebras and closely related domains.