Norm inequalities related to the arithmetic–geometric mean inequalities for positive semidefinite matrices

被引：0
|
作者：
Mostafa Hayajneh
Saja Hayajneh
Fuad Kittaneh
机构：
[1] Yarmouk University,Department of Mathematics
[2] The University of Jordan,Department of Mathematics
来源：
Positivity | 2018年 / 22卷
关键词：
Unitarily invariant norm; Hilbert–Schmidt norm; Singular value; Trace; Positive semidefinite matrix; Inequality; Primary 15A60; Secondary 15A18; 15A42; 47A30; 47B15;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we propose three new matrix versions of the arithmetic–geometric mean inequality for unitarily invariant norms, which stem from the fact that the Heinz mean of two positive real numbers interpolates between the geometric and arithmetic means of these numbers. Related trace inequalities are also presented.
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页码：1311 / 1324
页数：13
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