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Generalized Schur functions. (English) Zbl 0309.15006

MSC:
15A15 Determinants, permanents, traces, other special matrix functions
15B51 Stochastic matrices
15B57 Hermitian, skew-Hermitian, and related matrices
15A69 Multilinear algebra, tensor calculus
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[1] Freese, Ralph, Inequalities for generalized matrix functions based on arbitrary characters, Linear algebra appl., 7, 337-345, (1973) · Zbl 0283.15004
[2] Marcus, Marvin, Finite dimensional multilinear algebra, (1973), Marcel Dekker New York, Part I · Zbl 0284.15024
[3] Marcus, Marvin; Minc, Henryk, Generalized matrix functions, Trans. amer. math. soc., 116, 316-329, (1965) · Zbl 0178.35902
[4] Marcus, Marvin; Newman, Morris, Inequalities for the permanent function, Ann. of math., 75, 47-62, (1962) · Zbl 0103.00703
[5] Marcus, Marvin; Nikolai, Paul J, Inequalities for some monotone matrix functions, Canad. J. math., 21, 485-494, (1969) · Zbl 0196.05703
[6] Marcus, Marvin; Pierce, Stephen, Extensions of the Minkowski inequality, Linear algebra appl., 1, 13-27, (1968) · Zbl 0164.03201
[7] \scRussell Merris, Equality of decomposable symmetrized tensors, Canad. J. Math., to appear. · Zbl 0323.15007
[8] Merris, Russell; Newman, Morris, An explicit isomorphism with applications to inequalities for matrix functions, J. algebra, 25, 468-474, (1973) · Zbl 0274.15009
[9] Newman, Morris, Matrix representations of groups, () · Zbl 0372.20036
[10] Schur, I, Über endliche gruppen und hermitesche formen, Math. Z., 1, 184-207, (1918) · JFM 46.0174.03
[11] van der Waerden, B.L, Aufgabe 45, Jber. Deutsch. math. verein, 35, 117, (1926)
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