MORE INEQUALITIES FOR POSITIVE LINEAR MAPS

被引：4

作者：

Sharma, R. ^{[1
]}

Thakur, A. ^{[1
]}

机构：

[1] HP Univ, Dept Math, Shimla 171005 5, Himachal Prades, India

来源：

JOURNAL OF MATHEMATICAL INEQUALITIES | 2013年 / 7卷 / 01期

关键词：

linear maps; variance; Chebyshev's inequality; Schwarz's inequality;

D O I：

10.7153/jmi-07-01

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive inequalities for the norm of the variance of matrices. It is shown that unital linear maps on 2 x 2 matrices preserve the commutativity properties of matrices. This feature allows us to generalize several inequalities for such maps. We show by way of an example that this technique cannot be extended to the case of n x n, n >= 3, matrices.

引用

页码：1 / 9

页数：9

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