Unitarily invariant norm inequalities for some means

被引：1

作者：

Furuichi, Shigeru ^{[1
]}

机构：

[1] Nihon Univ, Coll Humanities & Sci, Dept Informat Sci, Setagaya Ku, Tokyo 1568550, Japan

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年

关键词：

symmetric homogeneous mean; logarithmic mean; unitarily invariant norm and norm inequality; MATRICES;

D O I：

10.1186/1029-242X-2014-158

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We introduce some symmetric homogeneous means, and then we show unitarily invariant norm inequalities for them, applying the method established by Hiai and Kosaki. Our new inequalities give tighter bounds of the logarithmic mean than the inequalities given by Hiai and Kosaki. Some properties and norm continuities in the parameter for our means are also discussed.

引用

页数：11

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