The joint numerical range of commuting matrices

DOI10.4064/sm200622-31-5zbMath1500.15014OpenAlexW4289826433MaRDI QIDQ5039000

Chi-Kwong Li, Yiu-Tung Poon, Pan-Shun Lau

Publication date: 10 October 2022

Published in: Studia Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/sm200622-31-5

zbMATH Keywords

convex setjoint numerical rangecommuting family

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12) Dilations, extensions, compressions of linear operators (47A20)

Related Items

A distance formula for tuples of operators ⋮ Numerical Ranges of Operators and Matrices ⋮ In search of convexity: diagonals and numerical ranges

Cites Work

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• Normal forms and joint numerical ranges of doubly commuting matrices
• Joint numerical ranges and commutativity of matrices
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• A Dilation and Norm in Several Variable Operator Theory
• Convexity of the Joint Numerical Range
• In search of convexity: diagonals and numerical ranges
• Two classical theorems on commuting matrices
• A Note on Group Commutators of 2 × 2 Matrices

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