Singular value inequalities for commutators of Hilbert space operators

被引：9

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.

引用

页码：2362 / 2367

页数：6

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