Matrix form of the inverse Young inequalities

被引：7

作者：

Manjegani, S. M. ^{[1
]}

Norouzi, A. ^{[1
]}

机构：

[1] Isfahan Univ Technol, Dept Math Sci, Esfahan 8415685111, Iran

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 486卷

关键词：

Inverse Young inequality; Positive semi-definite matrix; Singular values; SINGULAR-VALUES;

D O I：

10.1016/j.laa.2015.08.022

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We use operator monotone and operator convex functions to prove an inverse to the Young inequality for eigenvalues of positive definite matrices and then apply it to obtain a matrix inverse Young inequality which can be considered as a complement of a result of T. Ando. Also, we give a necessary and sufficient condition for the equality. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：484 / 493

页数：10

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