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On the eigenvalues of a matrix with prescribed singular values


Author: Alfred Horn
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
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  • [1] H. Weyl, Inequalities between the two kinds of eigenvalues of a linear transformation, Proc. Nat. Acad. Sci. U.S.A. vol. 35 (1949) pp. 408-411. MR 0030693 (11:37d)
  • [2] W. V. Parker, The characteristic roots of matrices, Duke Math. J. vol. 12 (1945) pp. 509-526. MR 0013117 (7:107f)
  • [3] A. Horn, On the singular values of a product of completely continuous operators, Proc. Nat. Acad. Sci. U.S.A. vol. 36 (1950) pp. 374-375. MR 0045316 (13:565a)
  • [4] C. Visser and A. C. Zaanen, On the eigenvalues of compact linear transformations, Nederl. Akad. Wetensch. vol. 14 (1952) pp. 71-78. MR 0046570 (13:755b)
  • [5] F. D. Murnaghan, The theory of group representations, Baltimore, 1938.

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DOI: https://doi.org/10.1090/S0002-9939-1954-0061573-6
Article copyright: © Copyright 1954 American Mathematical Society

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