交换矩阵的联合数值范围

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
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引用次数: 2

摘要

. 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。
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The joint numerical range of commuting matrices
. 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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来源期刊
Studia Mathematica
Studia Mathematica 数学-数学
CiteScore
1.50
自引率
12.50%
发文量
72
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.
期刊最新文献
A biparameter decomposition of Davis–Garsia type Embeddings between Lorentz sequence spaces are strictly but not finitely strictly singular Symmetric stable processes on amenable groups The $L^p$-to-$L^q$ compactness of commutators with $p \gt q$ $L^p$-boundedness of pseudo-differential operators on homogeneous trees
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