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On extreme points inl 1

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Abstract

It is proved that every bounded closed and convex subset ofl 1 is the closed convex hull of its extreme points.

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References

  1. E. Bishop and R. R. Phelps,The support functionals of a convex set, Proc. Symposia in Pure Math. VII (Convexity), Amer. Math. Soc. (1963), 27–37.

  2. R. C. James,Weakly compact sets, Trans. Amer. Math. Soc.113 (1964), 129–140.

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  3. J. Lindenstrauss,On a subspace of the space l 1, Bull. Acad. Polon. Sci. Math. Astr. et Phys.12 (1964), 539–542.

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Authors and Affiliations

  1. The Hebrew University of Jerusalem, Israel

    Joram Lindenstrauss

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  1. Joram Lindenstrauss
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Additional information

The research reported in this document has been sponsored by the Air Force Office of Scientific Research under Grant AF EOAR 66-18 through the European Office of Aerospace Research (OAR) United States Air Force.

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Lindenstrauss, J. On extreme points inl 1 . Israel J. Math. 4, 59–61 (1966). https://doi.org/10.1007/BF02760071

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  • DOI: https://doi.org/10.1007/BF02760071

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