More operator versions of the Schwarz inequality

被引：30

作者：

Bhatia, R

Davis, C

机构：

[1] Indian Stat Inst, New Delhi 110016, India

[2] Univ Toronto, Dept Math, Toronto, ON M5S 3G3, Canada

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2000年 / 215卷 / 02期

关键词：

Operator Version; Schwarz Inequality; Noncommutative Probability;

D O I：

10.1007/s002200000289

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Some new operator versions of the Schwarz inequality are obtained. One of them is a counterpart of the variance-covariance inequality in the context of noncommutative probability. The Schwarz inequality has appeared in several avatars. Some of these are its versions for operators [1, 2, 4, 7-9]. More are presented here.

引用

页码：239 / 244

页数：6

共 12 条

[1] CONCAVITY OF CERTAIN MAPS ON POSITIVE DEFINITE MATRICES AND APPLICATIONS TO HADAMARD PRODUCTS [J].