Alma van der Merwe, Madelein van Straaten, Hugo J. Woerdeman
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Fejér–Riesz factorization in the QRC-subalgebra and circularity of the quaternionic numerical range
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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