Commutativity of projections and characterization of traces on Von Neumann algebras

被引：0
作者：
A.M. Bikchentaev
机构：
[1] Research Institute of Mathematics and Mechanics of Kazan Federal University cKazan,
来源：
Siberian Mathematical Journal | 2010年 / 51卷
关键词：
Hilbert space; von Neumann algebra; spectral theorem; weight; trace; normal functional; bounded linear operator; projection; operator inequality; commutativity of operators;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We find new necessary and sufficient conditions for the commutativity of projections in terms of operator inequalities. We apply these inequalities to characterize a trace on von Neumann algebras in the class of all positive normal functionals. We obtain some characterization of a trace on von Neumann algebras in terms of the commutativity of products of projections under a weight.
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页码：971 / 977
页数：6
相关论文
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