Work

The c-numerical range of a quaternion skew-Hermitian matrix is convex

Year: 2024

Type: article

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.

Source: Advances in Operator Theory

DOI: 10.1007/s43036-024-00391-0

Authors: Alma van der Merwe, Madelein Thiersen, Hugo J. Woerdeman

Institutions: University of the Witwatersrand, North-West University, Drexel University

Language: English

Topic: Algebraic and Geometric Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $2,990

Funders: National Science Foundation, National Research Foundation, Directorate for Mathematical and Physical Sciences