Alma van der Merwe, Madelein Thiersen, Hugo J. Woerdeman
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引用次数: 0
摘要
我们证明了非标度偏斜-赫米特四元数矩阵的 c 数值范围是凸的。事实上，我们的结果还包括：偏斜-赫米特矩阵的 c 数值范围是实部为零的四元数的旋转不变子集。
The c-numerical range of a quaternion skew-Hermitian matrix is convex
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.
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