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Journal article
Fejér–Riesz factorization in the QRC-subalgebra and circularity of the quaternionic numerical range
Advances in operator theory, v 9, 3
03 Apr 2024
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Abstract
We provide a characterization when the quaternionic numerical range of a matrix is a closed ball with center 0. The proof makes use of Fejér–Riesz factorization of matrix-valued trigonometric polynomials within the algebra of complex matrices associated with quaternion matrices.
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Details
- Title
- Fejér–Riesz factorization in the QRC-subalgebra and circularity of the quaternionic numerical range
- Creators
- Hugo J Woerdeman (Corresponding Author) - Drexel University, MathematicsAlma van der Merwe - University of the WitwatersrandMadelein van Straaten - North-West University
- Publication Details
- Advances in operator theory, v 9, 3
- Publisher
- Springer Nature
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001197250700002
- Scopus ID
- 2-s2.0-85189290012
- Other Identifier
- 991021864309704721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics