GENERALIZING THE ANDO-HIAI INEQUALITY FOR SECTORIAL MATRICES

被引：1
|
作者：
Zhao, Lin [1 ]
Zheng, Yanpeng [1 ]
Jiang, Xiaoyu [1 ]
机构：
[1] Linyi Univ, Univ Shandong, Key Lab Complex Syst & Intelligent Comp, Linyi 276005, Shandong, Peoples R China
来源：
OPERATORS AND MATRICES | 2022年 / 16卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Numerical range; sectorial matrix; norm inequality; NUMERICAL RANGES; NORM;
D O I：
10.7153/oam-2022-16-26
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we extend a remarkable norm inequality of Ando and Hiai in 1994 about comparing the power of geometric mean and the geometric mean of powers of two positive semidefinite matrices to the case of sectorial matrices. To this end, we develop several new matrix inequalities that compare the real part of sectorial matrices.
引用
收藏
页码：329 / 335
页数：7
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