NUMERICAL RADIUS INEQUALITIES FOR HILBERT SPACE OPERATORS

被引:1
|
作者
Al-Dolat, Mohammed [1 ]
Al-Zoubi, Khaldoun [1 ]
机构
[1] Jordan Univ Sci & Technol, Dept Math & Stat, POB 3030, Irbid 22110, Jordan
来源
JOURNAL OF MATHEMATICAL INEQUALITIES | 2016年 / 10卷 / 04期
关键词
Numerical radius; operator norm;
D O I
10.7153/jmi-10-83
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this article, we give several inequalities involving powers numerical radii and the usual operator norms of Hilbert space operators. In particular, if A(i), B-i and X-i are bounded linear operators (i = 1,2, ... , n is an element of N), then we estimate the norm as well as the numerical radius to Sigma(n)(i=1) X(i)A(i)(m)B(i) for some m is an element of N.
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页码:1041 / 1049
页数:9
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