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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 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

An extremum property of sums of eigenvalues
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by Helmut Wielandt PDF
Proc. Amer. Math. Soc. 6 (1955), 106-110 Request permission
References
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  • R. Courant, Über die Eigenwerte bei den Differentialgleichungen der mathematischen Physik, Math. Z. 7 (1920), no. 1-4, 1–57 (German). MR 1544417, DOI 10.1007/BF01199396
  • R. Courant and D. Hilbert, Methoden der mathematischen Physik, Berlin, 1931, p. 28.
  • Ky Fan, On a theorem of Weyl concerning eigenvalues of linear transformations. I, Proc. Nat. Acad. Sci. U.S.A. 35 (1949), 652–655. MR 34519, DOI 10.1073/pnas.35.11.652
  • G. Hardy, J. Littlewood, and G. Pólya, Inequalities, Cambridge, 1934, p. 49.
  • A. J. Hoffman and H. W. Wielandt, The variation of the spectrum of a normal matrix, Duke Math. J. 20 (1953), 37–39. MR 52379
  • 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
  • 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
  • Hermann Weyl, Das asymptotische Verteilungsgesetz der Eigenwerte linearer partieller Differentialgleichungen (mit einer Anwendung auf die Theorie der Hohlraumstrahlung), Math. Ann. 71 (1912), no. 4, 441–479 (German). MR 1511670, DOI 10.1007/BF01456804
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Additional Information
  • © Copyright 1955 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 6 (1955), 106-110
  • MSC: Primary 09.0X
  • DOI: https://doi.org/10.1090/S0002-9939-1955-0067842-9
  • MathSciNet review: 0067842