Submultiplicativity of the numerical radius of commuting matrices of order two

被引：6

作者：

Li, Chi-Kwong ^{[1
]}

Poon, Yiu-Tung ^{[2
]}

机构：

[1] Coll William & Mary, Dept Math, Williamsburg, VA 23187 USA

[2] Iowa State Univ, Dept Math, Ames, IA 50011 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2019年 / 475卷 / 01期

关键词：

Numerical radius; Submultiplicative;

D O I：

10.1016/j.jmaa.2019.02.066

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Denote by w(T) the numerical radius of a matrix T. An elementary proof is given to the fact that w(AB) <= w(A)w(B) for a pair of commuting matrices of order two, and characterization is given for the matrix pairs that attain the quality. (C) 2019 Published by Elsevier Inc.

引用

页码：730 / 735

页数：6

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