Inequalities related to Lidskiĭ’s
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- by M. F. Smiley
- Proc. Amer. Math. Soc. 19 (1968), 1029-1034
- DOI: https://doi.org/10.1090/S0002-9939-1968-0233833-7
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References
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- Alfred Horn, Eigenvalues of sums of Hermitian matrices, Pacific J. Math. 12 (1962), 225–241. MR 140521, DOI 10.2140/pjm.1962.12.225
- Fritz John, On symmetric matrices whose eigenvalues satisfy linear inequalities, Proc. Amer. Math. Soc. 17 (1966), 1140–1145. MR 202726, DOI 10.1090/S0002-9939-1966-0202726-1
- 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 M. F. Smiley, Algebra of matrices, Allyn and Bacon, Boston, 1965, pp. 211-212.
- 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
- Bruno Peter Zwahlen, Über die Eigenwerte der Summe zweier selbstadjungierter Operatoren, Comment. Math. Helv. 40 (1966), 81–116 (German). MR 190152, DOI 10.1007/BF02564365
- A. S. Markus, Eigenvalues and singular values of the sum and product of linear operators, Uspehi Mat. Nauk 19 (1964), no. 4 (118), 93–123 (Russian). MR 0169063
Bibliographic Information
- © Copyright 1968 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 19 (1968), 1029-1034
- MSC: Primary 15.58
- DOI: https://doi.org/10.1090/S0002-9939-1968-0233833-7
- MathSciNet review: 0233833