The joint numerical range of commuting matrices

IF 0.7 3区数学 Q2 MATHEMATICS

Studia Mathematica Pub Date : 2022-01-01 DOI:10.4064/sm200622-31-5

Pan-shun Lau, Chi-Kwong Li, Y. Poon

引用次数: 2

Abstract

. It is shown that for n ≤ 3 the joint numerical range of a family of commuting n × n complex matrices is always convex; for n ≥ 4 there are two commuting matrices whose joint numerical range is not convex.

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交换矩阵的联合数值范围

．那是展示用的n≤3《联合numerical太阳城of a family of通勤是n×n情结matrices总是凸;为n≥4有两条通勤matrices一个关节numerical太阳城是凸音符。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Studia Mathematica 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

审稿时长

5 months

期刊介绍： The journal publishes original papers in English, French, German and Russian, mainly in functional analysis, abstract methods of mathematical analysis and probability theory.