Interpolated inequalities for unitarily invariant norms

被引：20

作者：

Sababheh, M. ^{[1
,2
]}

机构：

[1] Princess Sumaya Univ Technol, Dept Basic Sci, Amman 11941, Jordan

[2] Sharjah Univ, Dept Math, Sharjah, U Arab Emirates

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2015年 / 475卷

关键词：

Young's inequality; Norm inequalities; Unitarily invariant norm inequalities; MATRIX YOUNG INEQUALITIES;

D O I：

10.1016/j.laa.2015.02.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we interpolate the well known Young and Heinz inequalities for unitarily invariant norms, and some of their known refinements. Then we prove new interpolated refinements. In the end, we use this interpolation idea to prove a hidden monotonicity behavior these inequalities obey. (C) 2015 Elsevier Inc. All rights reserved.

引用

页码：240 / 250

页数：11