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An elementary proof of the Eberlein-Šmulian theorem

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References

  1. Day, M. M.: Normed linear spaces. Berlin-Göttingen-Heidelberg: Springer 1958.

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  2. Dunford, N., andJ. Schwartz: Linear operators, part I. New York: Interscience 1958.

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  3. Kelley, J. L.: General topology. New York: Van Nostrand 1955.

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  4. Pełczyński, A.: A proof of the Eberlein-Šmulian theorem by an application of basic sequences. Bull. Polon. Sci. Ser. Math. Astr. et Phys.,12, 543–548 (1964).

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Authors and Affiliations

  1. Department of Mathematics, University of Maryland, College Park, Maryland, USA

    Robert Whitley

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  1. Robert Whitley
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This work was supported by a Faculty Research Award from the University of Maryland for the summer of 1965.

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Whitley, R. An elementary proof of the Eberlein-Šmulian theorem. Math. Ann. 172, 116–118 (1967). https://doi.org/10.1007/BF01350091

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  • DOI: https://doi.org/10.1007/BF01350091

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