Norm inequalities for commutators of positive operators and applications

被引：26
作者：
Kittaneh, Fuad [1 ]
机构：
[1] Univ Jordan, Dept Math, Amman, Jordan
来源：
MATHEMATISCHE ZEITSCHRIFT | 2008年 / 258卷 / 04期
关键词：
commutator; positive operator; norm inequality;
D O I：
10.1007/s00209-007-0201-9
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Let X, Y, and Z be operators on a Hilbert space such that X and Z are positive. It is shown that parallel to XY-YZ parallel to <= max (parallel to X parallel to, parallel to Z parallel to)parallel to Y parallel to. Applications of this commutator inequality are given.
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页码：845 / 849
页数：5
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