A property of conditional expectation

被引：3
|
作者：
Bekjan, Turdebek N. [1 ]
Sageman, Bolathan K. [1 ]
机构：
[1] Xinjiang Univ, Coll Math & Syst Sci, Urumqi 830046, Peoples R China
来源：
POSITIVITY | 2018年 / 22卷 / 05期
关键词：
Conditional expectation; Super-majorization; Semifinite von Neumann algebra; JENSENS INEQUALITY; SPACES; NORMS;
D O I：
10.1007/s11117-018-0581-6
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let (M, t) be a semi-finite von Neumann algebra, (N, N) be a semifinite von Neumann subalgebra and E : M -> N be a conditional expectation which leaves t invariant. We proved super-majorization for the conditional expectation E and related inequalities.
引用
收藏
页码：1359 / 1369
页数：11
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