Geodesic
Normality and the Higher Numerical Range
Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 419-430

Voir la notice de l'article provenant de la source Cambridge University Press

Let Mn(C) be the vector space of all w-square complex matrices. Denote by (• , •) the standard inner product in the space Cn of complex n-tuples. For a matrix A ∈ Mn(C) and an n-tuple c = (c1,... , cn) ∈ Cn, define the c-numerical range of A to be the set (1) 
Marcus, Marvin; Moyls, Benjamin N.; Filippenko, Ivan. Normality and the Higher Numerical Range. Canadian journal of mathematics, Tome 30 (1978) no. 2, pp. 419-430. doi: 10.4153/CJM-1978-036-6
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[1] 1. Fillmore, P. A. and Williams, J. P., Some convexity theorems for matrices, Glasgow Math. J. 12 (1971), 110–117. Google Scholar

[2] 2. Halmos, P. R., A Hilbert space problem book (Van Nostrand Co., Inc., 1967). Google Scholar

[3] 3. Horn, A., Doubly stochastic matrices and the diagonal of a rotation matrix, Amer. J. Math. 76 (1954), 620–630. Google Scholar

[4] 4. Marcus, M. and Minc, H., A survey of matrix theory and matrix inequalities (Prindle, Weber and Schmidt, Inc., Boston, 1964). Google Scholar

[5] 5. Marcus, M., Moyls, B.N., and Westwick, R., Some extreme value results for indefinite hermitian matrices, II, Illinois J. Math. 2 (1958), 408–414. Google Scholar

[6] 6. Moyls, B. N. and Marcus, M., Field convexity of a square matrix, Proc. Amer. Math. Soc. G (1955), 981–983. Google Scholar

[7] 7. Murnaghan, F. D., On the field of values of a square matrix, Proc. Nat. Acad. Sci. 18 (1932), 246–248. Google Scholar

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