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Inequalities for generalized matrix functions based on arbitrary characters. (English) Zbl 0283.15004

##### MSC:
 15A15 Determinants, permanents, traces, other special matrix functions 15A42 Inequalities involving eigenvalues and eigenvectors
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##### References:
 [1] Marcus, M., Matrix applications of a quadratic identity for decomposable symmetrized tensors, Bull. amer. math. soc., 71, 360-364, (1965) · Zbl 0132.41803 [2] Marcus, M.; Mine, H., Extensions of classical matrix inequalities, Lin. alg. appl., 1, 421-444, (1968) · Zbl 0174.31903 [3] Marcus, M.; Mine, H., Generalized matrix functions, Bull. amer. math. soc., 70, 308-313, (1964) · Zbl 0122.01607 [4] Marcus, M.; Mine, H., A survey of matrix theory and matrix inequalities, (1964), Allyn and Bacon Boston · Zbl 0126.02404 [5] Marcus, M.; Pierce, S., Extensions of the Minkowski inequality, Lin. alg. appl., 1, 13-27, (1968) · Zbl 0164.03201 [6] Marcus, M., On two classical results of I. Schur, Bull. amer. math. soc., 70, 685-688, (1964) · Zbl 0263.15004 [7] Schur, I., Über endliche gruppen and hermitesche formen, Math. Z., 1, 184-207, (1918) · JFM 46.0174.03 [8] Feit, W., Characters of finite groups, (1967), Benjamin New York · Zbl 0166.29002
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