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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

Mazur's theorem on sequentially continuous linear functionals


Authors: J. R. Isbell and E. S. Thomas
Journal: Proc. Amer. Math. Soc. 14 (1963), 644-647
MSC: Primary 46.01; Secondary 54.00
MathSciNet review: 0151833
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References [Enhancements On Off] (What's this?)

  • [1] T. Carleman, Sur un théorème de Weierstrass, Ark. Mat. 20 (1927), 5 pp.
  • [2] J. R. Isbell, Mazur’s theorem, General Topology and its Relations to Modern Analysis and Algebra (Proc. Sympos., Prague, 1961) Academic Press, New York; Publ. House Czech. Acad. Sci., Prague, 1962, pp. 221–225. MR 0146640 (26 #4160)
  • [3] S. Mazur, Sur la structure des fonctionnelles linéaires dans certains espaces (L), Ann. Soc. Polon. Math. 19 (1946), 241.
  • [4] S. Mrówka, On the form of pointwise continuous positive functionals and isomorphisms of function spaces, Studia Math. 21 (1961/1962), 1–14. MR 0138992 (25 #2432)

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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1963-0151833-8
PII: S 0002-9939(1963)0151833-8
Article copyright: © Copyright 1963 American Mathematical Society