Trace Inequalities for Measurable Operators Affiliated to a von Neumann Algebra

被引：0
作者：
A. M. Bikchentaev [1 ]
机构：
[1] Kazan Federal University, Kazan
来源：
Russian Mathematics | 2025年 / 69卷 / 1期
关键词：
Hilbert space; hyponormal operator; inequality; linear operator; projection; trace; von Neumann algebra;
D O I：
10.3103/S1066369X25700082
中图分类号：
学科分类号：
摘要：
Let be a trace on von Neumann algebra,, and,. Then. Let be a faithful normal semifinite trace on, be the -algebra of all -measurable operators. If and with, then. An operator is Hermitian if. Let positive operators be invertible in and. If Y,, then. Let an operator be hyponormal and be its Cartesian decomposition. If (i) or (ii) and, then is normal. © Allerton Press, Inc. 2025.
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页码：90 / 95
页数：5
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