Some metric inequalities in the space of matrices
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- by Ky Fan and A. J. Hoffman PDF
- Proc. Amer. Math. Soc. 6 (1955), 111-116 Request permission
References
- Ky Fan, Maximum properties and inequalities for the eigenvalues of completely continuous operators, Proc. Nat. Acad. Sci. U.S.A. 37 (1951), 760–766. MR 45952, DOI 10.1073/pnas.37.11.760
- V. B. Lidskiĭ, On the characteristic numbers of the sum and product of symmetric matrices, Doklady Akad. Nauk SSSR (N.S.) 75 (1950), 769–772 (Russian). MR 0039686 J. von Neumann, Some matrix-inequalities and metrization of matric-space, Tomsk Univ. Rev. vol. 1 (1937) pp. 286-300.
- Robert Schatten, A Theory of Cross-Spaces, Annals of Mathematics Studies, No. 26, Princeton University Press, Princeton, N. J., 1950. MR 0036935
- Helmut Wielandt, An extremum property of sums of eigenvalues, Proc. Amer. Math. Soc. 6 (1955), 106–110. MR 67842, DOI 10.1090/S0002-9939-1955-0067842-9
Additional Information
- © Copyright 1955 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 6 (1955), 111-116
- MSC: Primary 09.0X
- DOI: https://doi.org/10.1090/S0002-9939-1955-0067841-7
- MathSciNet review: 0067841