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Separable Lindenstrauss spaces whose duals do not contain weak* closed convex unbounded sets having the AFPP

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Abstract

We characterize all separable L1-preduals X for which every weak* closed convex unbounded set in X* lacks the approximate fixed point property for nonexpansive mappings. Our result improves and completes the main theorem in [4], where this property was studied for C(α) and C0(α) spaces with α an infinite countable ordinal as well as for ℓ1-predual hyperplanes in c.

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Authors and Affiliations

  1. Instytut Matematyki, Uniwersytet Marii Curie-Skłodowskiej, Pl. Marii Curie-Skłodowskiej 1, 20-031, Lublin, Poland

    Łukasz Piasecki & Jeimer Villada

Authors
  1. Łukasz Piasecki
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  2. Jeimer Villada
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Correspondence to Jeimer Villada.

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Piasecki, Ł., Villada, J. Separable Lindenstrauss spaces whose duals do not contain weak* closed convex unbounded sets having the AFPP. Isr. J. Math. 254, 87–96 (2023). https://doi.org/10.1007/s11856-022-2388-1

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  • DOI: https://doi.org/10.1007/s11856-022-2388-1

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