Inequalities for sums and direct sums of Hilbert space operators

被引：21

作者：

Hirzallah, Omar

Kittaneh, Fuad

机构：

[1] Univ Jordan, Dept Math, Amman 11942, Jordan

[2] Hashemite Univ, Dept Math, Zarqa, Jordan

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2007年 / 424卷 / 01期

关键词：

compact operator; singular value; unitarily invariant norm; inequality;

D O I：

10.1016/j.laa.2006.03.036

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove several singular value inequalities and norm inequalities involving sums and direct sums of Hilbert space operators. It is shown, among other inequalities, that if X and Y are compact operators, then the singular values of X+Y/2 are dominated by those of X circle plus Y. Applications of these inequalities are also given. (C) 2006 Elsevier Inc. All rights reserved.

引用

页码：71 / 82

页数：12

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