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

页码：95 / 100

页数：6

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