Quaternionic Numerical Range and Real Subspaces |
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Authors: | Yik-hoi au Yeung Lok-shun Siu |
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Affiliation: | a Department of Mathematics, The university of Hong Kong, Hong kong |
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Abstract: | Let W(A) be the numerical range of an n × n quaternionic matrix A and V a real subspace of the skew field of real quaternions. In this note the authors consider the relation among the shape of W(A), the convexity of V∩W(A): and the validity of the equality V∩W(A) = Wv(A), where Wv (A) is the orthogonal projection of W(A) into V. |
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Keywords: | Quaternion numerical range convexity |
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