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

Journal of inequalities and applications

Sever S Dragomir¹ 

关键词: bounded linear operators;    functions of normal operators;    inequalities for operators;    norm and numerical radius inequalities;    Kato’s inequality;   

DOI  :  10.1186/1029-242X-2013-464

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by the use of famous Kato’s inequality for bounded linear operators, we establish some new inequalities for n-tuples of operators and apply them to functions of normal operators defined by power series as well as to some norms and numerical radii that arise in multivariate operator theory. They provide a natural continuation of the results in previous paper with (I) in the title. MSC: 47A50, 47A63.

【 授权许可】

CC BY