Symmetric means and matrix inequalities
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- by Peter Bullen and Marvin Marcus PDF
- Proc. Amer. Math. Soc. 12 (1961), 285-290 Request permission
References
- H. L. Hamburger and M. E. Grimshaw, Linear Transformations in $n$-Dimensional Vector Space. An Introduction to the Theory of Hilbert Space, Cambridge, at the University Press, 1951. MR 0041355
- G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, Cambridge, at the University Press, 1952. 2d ed. MR 0046395
- Marvin Marcus, Convex functions of quadratic forms, Duke Math. J. 24 (1957), 321–326. MR 88468
- M. Marcus and J. L. McGregor, Extremal properties of Hermitian matrices, Canadian J. Math. 8 (1956), 524–531. MR 80624, DOI 10.4153/CJM-1956-059-0
- M. Marcus and L. Lopes, Inequalities for symmetric functions and Hermitian matrices, Canadian J. Math. 9 (1957), 305–312. MR 84541, DOI 10.4153/CJM-1957-037-9
Additional Information
- © Copyright 1961 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 12 (1961), 285-290
- MSC: Primary 15.00
- DOI: https://doi.org/10.1090/S0002-9939-1961-0121374-0
- MathSciNet review: 0121374