INEQUALITIES FOR SECTOR MATRICES AND POSITIVE LINEAR MAPS

被引：15
|
作者：
Tan, Fuping [1 ]
Chen, Huimin [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2019年 / 35卷
关键词：
Positive linear maps; Geometric mean; Sector matrix; Norm inequality; NORM INEQUALITIES; GAUSSIAN-ELIMINATION; GROWTH-FACTOR;
D O I：
10.13001/1081-3810.4041
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Ando proved that if A, B are positive definite, then for any positive linear map phi, it holds phi(A(sic)(lambda)B) <= phi(A)(sic)(lambda)phi(B), where A(sic)(lambda)B, <= lambda <= 1, means the weighted geometric mean of A;B. Using the recently defined geometric mean for accretive matrices, Ando's result is extended to sector matrices. Some norm inequalities are considered as well.
引用
收藏
页码：418 / 423
页数：6
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