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Examples of sets with given approximation properties in WCG-space

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Abstract

An example of a nontrivial convex bounded Chebyshev set is constructed in an arbitrary weakly compactly generated Banach space (WCG-space). An example of bounded approximately compact but not locally compact set is constructed in an arbitrary infinite-dimensional WCG-space.

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  1. Moscow State University, Moscow, Russia

    P. A. Borodin

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  1. P. A. Borodin
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Correspondence to P. A. Borodin.

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Original Russian Text © P. A. Borodin, 2013, published in Matematicheskie Zametki, 2013, Vol. 94, No. 5, pp. 643–647.

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Borodin, P.A. Examples of sets with given approximation properties in WCG-space. Math Notes 94, 605–608 (2013). https://doi.org/10.1134/S0001434613110011

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