On the convexity and circularity of the numerical range of nilpotent quaternionic matrices

zbMath1431.15014arXiv1907.13438MaRDI QIDQ2280164

Cristina Diogo, Luís Carvalho, Sérgio Mendes

Publication date: 18 December 2019

Published in: The New York Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1907.13438

zbMATH Keywords

numerical rangequaternionsnilpotent matrix

Mathematics Subject Classification ID

Matrices over special rings (quaternions, finite fields, etc.) (15B33) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Numerical range, numerical radius (47A12)

Related Items (3)

On the boundedness of quaternionic numerical ranges with respect to nonstandard involutions ⋮ Quaternionic numerical range of complex matrices ⋮ S-spectrum and numerical range of a quaternionic operator

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