The c-numerical range of a quaternion skew-Hermitian matrix is convex
| dc.contributor.author | Vander Merwe, Alma | |
| dc.contributor.author | Thiersen, Madelein | |
| dc.contributor.author | Woerdeman, Hugo J | |
| dc.contributor.researchID | 22942998 | |
| dc.date.accessioned | 2025-11-27T06:53:34Z | |
| dc.date.issued | 2024 | |
| dc.description | Journal Article, Faculty of Natural and Agricultural Sciences, Pure and Applied Analytics-- Potchefstroom Campus | |
| dc.description.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 | |
| dc.description.sponsorship | Acknowledgements We gratefully acknowledge funding support from the Knowledge, Interchange and Collaboration(KIC)program of South Africa’s National Research Foundation(NRF).We thank the referee for carefully reading our manuscript and their helpful feedback. The research of HJW is supported by National Science Foundation grantDMS2000037. Open Access This article is licensed under a Creative Commons Attribution4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, along as you give appropriate credit to the original author(s)and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The image or other third party material in this article are included in the article’s Creative Commons licence, unless indicate do their wise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended seis not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ | |
| dc.identifier.citation | 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] | |
| dc.identifier.uri | https://doi.org/10.1007/s43036-024-00391-0 | |
| dc.identifier.uri | http://hdl.handle.net/10394/44381 | |
| dc.language.iso | en | |
| dc.publisher | Advances in Operator Theory | |
| dc.subject | Quaternion c-numerical Range | |
| dc.subject | Convexity | |
| dc.subject | Skew-Hermitian | |
| dc.title | The c-numerical range of a quaternion skew-Hermitian matrix is convex | |
| dc.type | Article |