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Some metric inequalities in the space of matrices. (English) Zbl 0064.01402

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[1] Ky Fan, Maximum properties and inequalities for the eigenvalues of completely continuous operators, Proc. Nat. Acad. Sci., U. S. A. 37 (1951), 760 – 766. · Zbl 0044.11502
[2] V. B. Lidskiń≠, On the characteristic numbers of the sum and product of symmetric matrices, Doklady Akad. Nauk SSSR (N.S.) 75 (1950), 769 – 772 (Russian).
[3] J. von Neumann, Some matrix-inequalities and metrization of matric-space, Tomsk Univ. Rev. vol. 1 (1937) pp. 286-300. · JFM 63.0037.03
[4] Robert Schatten, A Theory of Cross-Spaces, Annals of Mathematics Studies, no. 26, Princeton University Press, Princeton, N. J., 1950. · Zbl 0039.33503
[5] Helmut Wielandt, An extremum property of sums of eigenvalues, Proc. Amer. Math. Soc. 6 (1955), 106 – 110. · Zbl 0064.24703
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