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.
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页码：2253 / 2281
页数：29
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