Ando-Hiai type inequalities for multivariate operator means

被引：10

作者：

Hiai, Fumio ^{[1
]}

Seo, Yuki ^{[2
]}

Wada, Shuhei ^{[3
]}

机构：

[1] Tohoku Univ, Grad Sch Informat Sci, Aoba Ku, Sendai, Miyagi 9808579, Japan

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

[3] Kisarazu Coll, Natl Inst Technol, Dept Informat & Comp Engn, Kisarazu, Chiba, Japan

来源：

LINEAR & MULTILINEAR ALGEBRA | 2019年 / 67卷 / 11期

基金：

日本学术振兴会;

关键词：

Operator mean; Ando-Hiai inequality; geometric mean; Karcher mean; power mean; generalized Kantorovich constant; MATRIX POWER;

D O I：

10.1080/03081087.2018.1488938

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We present several Ando-Hiai type inequalities for n-variable operator means for positive invertible operators. Ando-Hiai's inequalities given here are not only of the original type but also of the complementary type and of the reverse type involving the generalized Kantorovich constant.

引用

页码：2253 / 2281

页数：29

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