Positive linear maps on Hilbert space operators and noncommutative Lp spaces

被引:0
|
作者
Bourin, Jean-Christophe [1 ]
Shao, Jingjing [2 ]
机构
[1] Univ Franche Comte, Lab Math, F-25000 Besancon, France
[2] Ludong Univ, Sch Math & Stat Sci, Yantai 264001, Peoples R China
来源
ACTA SCIENTIARUM MATHEMATICARUM | 2021年 / 87卷 / 1-2期
基金
中国国家自然科学基金;
关键词
positive linear maps; operator inequalities; tau-measurable operators;
D O I
10.14232/actasm-020-671-1
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We extend some inequalities for normal matrices and positive linear maps related to the Russo-Dye theorem. The results cover the case of some positive linear maps Phi on a von Neumann algebra M such that Phi(X) is unbounded for all nonzero X is an element of M.
引用
收藏
页码:195 / 206
页数:12
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