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Journal article
The c-numerical range of a quaternion skew-Hermitian matrix is convex
Advances in operator theory, v 9(4), 87
14 Oct 2024
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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.
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Details
- Title
- The c-numerical range of a quaternion skew-Hermitian matrix is convex
- Creators
- Hugo J Woerdeman (Corresponding Author) - Drexel University, MathematicsAlma van der Merwe - University of the WitwatersrandMadelein Thiersen - North-West University
- Publication Details
- Advances in operator theory, v 9(4), 87
- Publisher
- Springer Nature
- Number of pages
- 9
- Grant note
- Directorate for Mathematical and Physical Sciences
- Resource Type
- Journal article
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001335782400003
- Scopus ID
- 2-s2.0-85206355196
- Other Identifier
- 991021906508004721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics