Generalized spectral radius and norm inequalities for Hilbert space operators

被引：12

作者：

Abu-Omar, Amer ^{[1
]}

Kittaneh, Fuad ^{[1
]}

机构：

[1] Univ Jordan, Dept Math, Amman, Jordan

来源：

INTERNATIONAL JOURNAL OF MATHEMATICS | 2015年 / 26卷 / 12期

关键词：

Spectral radius; numerical radius; operator norm; inequality; operator matrix; Aluthge transform; NUMERICAL RADIUS; ALUTHGE TRANSFORM; MATRICES; SUMS;

D O I：

10.1142/S0129167X15500974

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We apply spectral radius and norm inequalities to certain 2x2 operator matrices to give simple proofs, refinements and generalizations of known norm inequalities. New norm inequalities are also given. Our analysis uncovers the interplay between different spectral radius and norm inequalities.

引用

页数：9

共 22 条

[1] A numerical radius inequality involving the generalized Aluthge transform [J].