Singular value inequalities for commutators of Hilbert space operators

被引：8
|
作者：
Kittaneh, Fuad [1 ]
机构：
[1] Univ Jordan, Dept Math, Amman, Jordan
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 430卷 / 8-9期
关键词：
Singular value; Commutator; Compact operator; Positive operator; Self-adjoint operator; Normal operator; Unitarily invariant norm; Inequality; SELF-ADJOINT OPERATORS; POSITIVE OPERATORS; WENZELS CONJECTURE; NORM INEQUALITIES; MATRICES; BOTTCHER; PROOF;
D O I：
10.1016/j.laa.2008.12.014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove several singular value inequalities for commutators of Hilbert space operators. It is shown, among other inequalities, that if A, B, and X are operators on a complex separable Hilbert space such that A and B are positive, and X is compact, then the singular values of AX - XB are dominated by those of max(parallel to A parallel to, parallel to B parallel to)(X circle plus X) where parallel to (.) parallel to is the usual operator norm. (C) 2008 Elsevier Inc. All rights reserved.
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页码：2362 / 2367
页数：6
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