RECENT DEVELOPMENTS OF MATRIX VERSIONS OF THE ARITHMETIC-GEOMETRIC MEAN INEQUALITY

被引：6

作者：

Fujii, Jun Ichi ^{[1
]}

Fujii, Masatoshi ^{[2
]}

Seo, Yuki ^{[2
]}

Zuo, Hongliang ^{[3
]}

机构：

[1] Osaka Kyoiku Univ, Dept Art & Sci Informat Sci, Osaka 5828582, Japan

[2] Osaka Kyoiku Univ, Dept Math Educ, Osaka 5828582, Japan

[3] Henan Normal Univ, Coll Math & Informat Sci, Xinxiang 453007, Henan, Peoples R China

来源：

ANNALS OF FUNCTIONAL ANALYSIS | 2016年 / 7卷 / 01期

关键词：

arithmetic-geometric mean inequality; Heinz inequality; unitarily invariant norm; singular value; Hadamard product; SINGULAR-VALUE INEQUALITIES; MONOTONE-FUNCTIONS; PRODUCT; VALUES;

D O I：

10.1215/20088752-3429400

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The main aim of this survey article is to present recent developments of matrix versions of the arithmetic geometric mean inequality. Among others, we show improvements and generalizations of the arithmetic geometric mean inequality for unitarily invariant norms via the Hadamard product, and for singular values via the operator monotone functions.

引用

页码：102 / 117

页数：16

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