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Inequalities for matrix functions. (English) Zbl 0246.15019

MSC:
15A15 Determinants, permanents, traces, other special matrix functions
15B57 Hermitian, skew-Hermitian, and related matrices
15A45 Miscellaneous inequalities involving matrices
20C15 Ordinary representations and characters
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[1] \scRalph Freese, Inequalities for generalized matrix functions based on arbitrary characters, Linear Algebra and Appl., to appear.
[2] Hardy, G.H; Littlewood, J.E; Polya, G, Inequalities, (1959), Cambridge University Press New York · Zbl 0634.26008
[3] Marcus, Marvin; Minc, Henryk, Generalized matrix functions, Trans. amer. math. soc., 116, 316-329, (1965) · Zbl 0178.35902
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[5] Marcus, Marvin; Nikolai, Paul J, Inequalities for some monotone matrix functions, Canad. J. math., 21, 485-494, (1969) · Zbl 0196.05703
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