Applications of Kato's inequality for n-tuples of operators in Hilbert spaces, (I)

被引：3

作者：

Dragomir, Sever S. ^{[1
,2
]}

Cho, Yeol Je ^{[3
,4
]}

Kim, Young-Ho ^{[5
]}

机构：

[1] Victoria Univ Technol, Sch Comp Sci & Math, Melbourne, Vic 8001, Australia

[2] Univ Witwatersrand, Sch Computat & Appl Math, ZA-2050 Johannesburg, South Africa

[3] Gyeongsang Natl Univ, Dept Math Educ, Chinju 660701, South Korea

[4] Gyeongsang Natl Univ, RINS, Chinju 660701, South Korea

[5] Changwon Natl Univ, Dept Math, Chang Won 641773, South Korea

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

基金：

新加坡国家研究基金会;

关键词：

bounded linear operators; functions of normal operators; inequalities for operators; norm and numerical radius inequalities; Kato's inequality; FURUTA INEQUALITY; HEINZ; EXTENSIONS;

D O I：

10.1186/1029-242X-2013-21

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by the use of the famous Kato's inequality for bounded linear operators, we establish some inequalities for n-tuples of operators and apply them for functions of normal operators defined by power series as well as for some norms and numerical radii that arise in multivariate operator theory.

引用

页数：16

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