A matrix formulation of Gruss inequality

被引：10
|
作者：
Renaud, PF [1 ]
机构：
[1] Univ Canterbury, Dept Math & Stat, Christchurch 1, New Zealand
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 335卷 / 335期
关键词：
Gruss inequality; Trace inequality;
D O I：
10.1016/S0024-3795(01)00278-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A matrix trace inequality, which can be regarded as a non-commutative version of Gruss inequality is derived. The proof easily generalises to the more general case of bounded linear operators on a Hilbert space. Other inequalities such as the Kantorovich inequality can be readily derived. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：95 / 100
页数：6
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