The c-numerical range of a quaternion skew-Hermitian matrix is convex
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Advances in Operator Theory
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Abstract
We show that the c-numerical range of a non-scalar skew-Hermitian quaternion matrix is convex. In fact, included in our result is that the c-numerical range of a skew-Hermitian matrix is a rotation invariant subset of the quaternions with zero real parts.
Mathematics Subject Classification 15A60 - 15A63 - 15B33 - 47A12
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Journal Article, Faculty of Natural and Agricultural Sciences, Pure and Applied Analytics-- Potchefstroom Campus
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Thiersen, Madelein. et al. 2024. The c-numerical range of a quaternion skew-Hermitian matrix is convex. Advances in Operator Theory,(2024) 9:87, [https://doi.org/10.1007/s43036-024-00391-0]