The Kreĭn-Šmulian theorem
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- by Robert Whitley PDF
- Proc. Amer. Math. Soc. 97 (1986), 376-377 Request permission
References
- Joseph Diestel, Sequences and series in Banach spaces, Graduate Texts in Mathematics, vol. 92, Springer-Verlag, New York, 1984. MR 737004, DOI 10.1007/978-1-4612-5200-9 N. Dunford and J. T. Schwartz, Linear operators. I, Interscience, New York, 1958.
- Richard B. Holmes, Geometric functional analysis and its applications, Graduate Texts in Mathematics, No. 24, Springer-Verlag, New York-Heidelberg, 1975. MR 0410335, DOI 10.1007/978-1-4684-9369-6
- Gottfried Köthe, Topological vector spaces. I, Die Grundlehren der mathematischen Wissenschaften, Band 159, Springer-Verlag New York, Inc., New York, 1969. Translated from the German by D. J. H. Garling. MR 0248498
- Robert Whitley, An elementary proof of the Eberlein-Šmulian theorem, Math. Ann. 172 (1967), 116–118. MR 212548, DOI 10.1007/BF01350091
Additional Information
- © Copyright 1986 American Mathematical Society
- 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