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A note on the Riesz representation theorem


Author: Don H. Tucker
Journal: Proc. Amer. Math. Soc. 14 (1963), 354-358
MSC: Primary 47.25
DOI: https://doi.org/10.1090/S0002-9939-1963-0145334-0
MathSciNet review: 0145334
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References [Enhancements On Off] (What's this?)

  • [1] N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1958.
  • [2] S. E. James, Integration in normed linear spaces, M.S. Thesis, University of Utah, Salt Lake City, Utah, 1961.
  • [3] G. G. Lorentz, Bernstein polynomials, Mathematical Expositions, no. 8, University of Toronto Press, Toronto, 1953. MR 0057370
  • [4] J. S. MacNerney, Stieltjes integrals in linear spaces, Ann. of Math. (2) 61 (1955), 354–367. MR 0067354, https://doi.org/10.2307/1969918
  • [5] F. Riesz, Sur les opérations fonctionnelles linéaires, C. R. Acad. Sci. 1949 (1909), 974-977.
  • [6] David Vernon Widder, The Laplace Transform, Princeton Mathematical Series, v. 6, Princeton University Press, Princeton, N. J., 1941. MR 0005923

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DOI: https://doi.org/10.1090/S0002-9939-1963-0145334-0
Article copyright: © Copyright 1963 American Mathematical Society