On the eigenvalues of a matrix with prescribed singular values
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- by Alfred Horn PDF
- Proc. Amer. Math. Soc. 5 (1954), 4-7 Request permission
References
- Hermann Weyl, Inequalities between the two kinds of eigenvalues of a linear transformation, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 408–411. MR 30693, DOI 10.1073/pnas.35.7.408
- W. V. Parker, The characteristic roots of matrices, Duke Math. J. 12 (1945), 519–526. MR 13117
- Alfred Horn, On the singular values of a product of completely continuous operators, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 374–375. MR 45316, DOI 10.1073/pnas.36.7.374
- C. Visser and A. C. Zaanen, On the eigenvalues of compact linear transformations, Nederl. Akad. Wetensch. Proc. Ser. A. 55 = Indagationes Math. 14 (1952), 71–78. MR 0046570 F. D. Murnaghan, The theory of group representations, Baltimore, 1938.
Additional Information
- © Copyright 1954 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 5 (1954), 4-7
- MSC: Primary 09.0X
- DOI: https://doi.org/10.1090/S0002-9939-1954-0061573-6
- MathSciNet review: 0061573