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w* sequential convergence

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Abstract

LetX be an infinite dimensional Banach space, andX* its dual space. Sequences {χ *n } ∞n=1 ⊆X* which arew* converging to 0 while inf n ‖x* n ‖>0, are constructed.

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References

  1. Fakhoury,Facial structure of compact convex sets and applications, Proc. Adv. Study Inst. Univ. Coll. Swansea2 (1972), 144.

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Authors and Affiliations

  1. Department of Mathematics, University of Tel Aviv, Tel Aviv, Israel

    A. Nissenzweig

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  1. A. Nissenzweig
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Nissenzweig, A. w* sequential convergence. Israel J. Math. 22, 266–272 (1975). https://doi.org/10.1007/BF02761594

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  • DOI: https://doi.org/10.1007/BF02761594

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