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
收藏
页码：730 / 735
页数：6
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