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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Proofs of two theorems on doubly-stochastic matrices
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by L. Mirsky
Proc. Amer. Math. Soc. 9 (1958), 371-374
DOI: https://doi.org/10.1090/S0002-9939-1958-0095180-X
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References
    T. Bonnesen and W. Fenchel, Theorie der konvexen Körper, Berlin, 1934.
  • Garrett Birkhoff, Three observations on linear algebra, Univ. Nac. Tucumán. Revista A. 5 (1946), 147–151 (Spanish). MR 0020547
    • G. H. Hardy, J. E. Littlewood, and G. Pó1ya, Inequalities, Cambridge, 1934.
  • Alfred Horn, Doubly stochastic matrices and the diagonal of a rotation matrix, Amer. J. Math. 76 (1954), 620–630. MR 63336, DOI 10.2307/2372705
  • Alexandre Ostrowski, Sur quelques applications des fonctions convexes et concaves au sens de I. Schur, J. Math. Pures Appl. (9) 31 (1952), 253–292 (French). MR 52475
  • R. Rado, An inequality, J. London Math. Soc. 27 (1952), 1–6. MR 45168, DOI 10.1112/jlms/s1-27.1.1
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Bibliographic Information
  • © Copyright 1958 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 9 (1958), 371-374
  • MSC: Primary 15.00
  • DOI: https://doi.org/10.1090/S0002-9939-1958-0095180-X
  • MathSciNet review: 0095180