The c-numerical range of a quaternion skew-Hermitian matrix is convex
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.
Authors
- Madelein Thiersen (ORCID: https://orcid.org/0000-0001-5345-2842)
- Hugo J. Woerdeman (ORCID: https://orcid.org/0000-0002-8538-7173)
- Alma van der Merwe
Institutions
- University of the Witwatersrand (ZA)
- North-West University (ZA)
- Drexel University (US)
Publication Details
- Journal
- Advances in Operator Theory
- Published
- 2024-10-01
- DOI
- https://doi.org/10.1007/s43036-024-00391-0
- Citations
- 1
- Primary Topic
- Matrix Theory and Algorithms
- Type
- article
- Field-Weighted Citation Impact
- 0.36
Funders
- National Science Foundation
- National Research Foundation
- Directorate for Mathematical and Physical Sciences