Trace inequalities for completely monotone functions and Bernstein functions

被引：4

作者：

Audenaert, Koenraad M. R. ^{[1
]}

机构：

[1] Univ London, Dept Math, Egham TW20 0EX, Surrey, England

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 02期

关键词：

Matrix inequalities; Subadditivity; Superadditivity; Positive semidefinite matrix; Partitioned matrix; OPERATORS; MATRICES;

D O I：

10.1016/j.laa.2012.03.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove a matrix trace inequality for completely monotone functions and for Bernstein functions. As special cases we obtain nontrivial trace inequalities for the power function x bar right arrow x(q), which for certain values of q complement McCarthy's trace inequality and for others strengthen it. (c) 2012 Elsevier Inc. All rights reserved.

引用

页码：601 / 611

页数：11

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