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

页码：1359 / 1369

页数：11

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