Interpolating inequalities related to a recent result of Audenaert

被引：17

作者：

Al-Khlyleh, Mohammad ^{[1
]}

Kittaneh, Fuad ^{[2
]}

机构：

[1] Philadelphia Univ, Dept Basic Sci & Math, Amman, Jordan

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

来源：

LINEAR & MULTILINEAR ALGEBRA | 2017年 / 65卷 / 05期

关键词：

Singular value; Hilbert-Schmidt norm; unitarily invariant norm; inequality; GEOMETRIC-MEAN INEQUALITY; OPERATORS; MATRICES;

D O I：

10.1080/03081087.2016.1216069

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Audenaert recently obtained an inequality for unitarily invariant norms that interpolates between the arithmetic-geometric mean inequality and the Cauchy-Schwarz inequality for matrices. A refined version of Audenaert's inequality for the Hilbert-Schmidt norm is given. Other interpolating inequalities for unitarily invariant norms are also presented.

引用

页码：922 / 929

页数：8

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