Further unitarily invariant norm inequalities for positive semidefinite matrices

被引：13

作者：

Al-Natoor, Ahmad ^{[1
]}

Kittaneh, Fuad ^{[2
]}

机构：

[1] Isra Univ, Dept Math, Amman, Jordan

[2] Univ Jordan, Dept Math, Amman, Jordan

来源：

POSITIVITY | 2022年 / 26卷 / 01期

关键词：

Positive semidefinite matrix; Singular value; Unitarily invariant norm; Inequality; INTERPOLATING INEQUALITIES; SUMS;

D O I：

10.1007/s11117-022-00876-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove further unitarily invariant norm inequalities for positive semidefinite matrices. These inequalities generalize earlier related inequalities. Among other applications of our new inequalities, we prove that parallel to XZ + ZY parallel to <= max (parallel to X parallel to, parallel to Y parallel to) parallel to Z parallel to + 1/2 parallel to X* Z + ZY*parallel to for all n x n complex matrices X, Y, and Z. Here, parallel to.parallel to denotes the spectral norm.

引用

页数：11

共 16 条

[1] Interpolating inequalities related to a recent result of Audenaert [J].