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

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-2013-21

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:47A63, 47A99.

【 授权许可】

CC BY