On some operator norm inequalities

被引：4
作者：
Seddik, A [1 ]
机构：
[1] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2004年 / 389卷
关键词：
Hilbert space; norm ideal; operator norm inequality; selfadjoint operator;
D O I：
10.1016/j.laa.2004.03.027
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Let R(H) be the C*-algebra of all bounded linear operators on a complex Hilbert space H, S be an invertible and selfadjoint operator in R(H) and let (I, parallel to.parallel to(I)) denote a norm ideal of R(H). In this note, we shall show the following inequality: For AllX is an element of I : parallel toS X S-1 -S(-1)XSparallel to(I) (parallel toSparallel to parallel toS(-1)parallel to-1)parallel to S X S-1 + S-1 X Sparallel to(I). (C) 2004 Elsevier Inc. All rights reserved.
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页码：183 / 187
页数：5
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