References
Au-Yeung, Y. H.,A Theorem on a Mapping from a Sphere to the Circle and the Simultaneous Diagonalization of two Hermitian Matrices, Proc. Amer. Math. Soc.20, 545–548 (1969).
Brickman, L.,On the Field of Values of a Matrix, Proc. Amer. Math. Soc.12, 61–66 (1961).
Goldman, A. J. andMarcus, M.,Convexity of the Field of a Linear Transformation, Canad. Math. Bull.2, 15–18 (1959).
Hausdorff, F.,Der Wertvorrat einer Bilinearform, Math. Zeit.3, 314–316 (1919).
Stone, M. H.,Hausdorff's Theorem Concerning Hermitian Forms, Bull. Amer. Math. Soc.36, 259–261 (1930).
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The author wishes to thank Professor R. Westwich for his helpful discussion during the preparation of this note.
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Au-Yeung, YH. A simple proof of the convexity of the field of values defined by two hermitian forms. Aeq. Math. 12, 82–83 (1975). https://doi.org/10.1007/BF01834040
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DOI: https://doi.org/10.1007/BF01834040