An asymmetric Kadison's inequality

被引：16

作者：

Bourin, Jean-Christophe ^{[1
]}

Ricard, Eric ^{[1
]}

机构：

[1] Univ Franche Comte, Math Lab, F-25030 Besancon, France

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2010年 / 433卷 / 03期

关键词：

Operator inequalities; Matrix geometric mean; Positive linear maps; INTERPOLATION; MAPS;

D O I：

10.1016/j.laa.2010.03.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Some inequalities for positive linear maps on matrix algebras are given, especially asymmetric extensions of Kadison's inequality and several operator versions of Chebyshev's inequality. We also discuss well-known results around the matrix geometric mean and connect it with complex interpolation. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：499 / 510

页数：12

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