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Proceedings of the American Mathematical Society

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The Kreĭn-Šmulian theorem


Author: Robert Whitley
Journal: Proc. Amer. Math. Soc. 97 (1986), 376-377
MSC: Primary 46B10
DOI: https://doi.org/10.1090/S0002-9939-1986-0835903-X
MathSciNet review: 835903
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  • [1] Joseph Diestel, Sequences and series in Banach spaces, Graduate Texts in Mathematics, vol. 92, Springer-Verlag, New York, 1984. MR 737004
  • [2] N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1958.
  • [3] Richard B. Holmes, Geometric functional analysis and its applications, Springer-Verlag, New York-Heidelberg, 1975. Graduate Texts in Mathematics, No. 24. MR 0410335
  • [4] Gottfried Köthe, Topological vector spaces. I, Translated from the German by D. J. H. Garling. Die Grundlehren der mathematischen Wissenschaften, Band 159, Springer-Verlag New York Inc., New York, 1969. MR 0248498
  • [5] Robert Whitley, An elementary proof of the Eberlein-Šmulian theorem, Math. Ann. 172 (1967), 116–118. MR 0212548, https://doi.org/10.1007/BF01350091

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DOI: https://doi.org/10.1090/S0002-9939-1986-0835903-X
Article copyright: © Copyright 1986 American Mathematical Society