EXTENSION OF THE FURUTA INEQUALITY AND ANDO-HIAI LOG-MAJORIZATION

被引：93
|
作者：
FURUTA, T
机构：
[1] Department of Applied Mathematics Faculty, Science Science University of Tokyo 1-3 Kagurazaka, 162, Shinjuku-ku Tokyo
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 1995年 / 219卷
关键词：
D O I：
10.1016/0024-3795(93)00203-C
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Ando and Hiai have obtained many excellent log majorization results for power means of positive semidefinite matrices. One of these results ensures matrix-norm inequalities for unitarily invariant norms, which are considered as complementary to the Golden-Thompson inequality. Firstly, we show an extension of the Furuta inequality by using itself. Secondary by using techniques due to Ando and Hiai and also using this extension of the Furuta inequality, we extend some results on log majorization.
引用
收藏
页码：139 / 155
页数：17
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