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Octahedrality in Lipschitz-free Banach spaces

  • Julio Becerra Guerrero (a1), Ginés López-Pérez (a2) and Abraham Rueda Zoca (a3)

Abstract

The aim of this note is to study octahedrality in vector-valued Lipschitz-free Banach spaces on a metric space, under topological hypotheses on it, by analysing the weak-star strong diameter 2 property in Lipschitz function spaces. Also, we show an example that proves that our results are optimal and that octahedrality in vector-valued Lipschitz-free Banach spaces actually relies on the underlying metric space as well as on the Banach one.

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Octahedrality in Lipschitz-free Banach spaces

  • Julio Becerra Guerrero (a1), Ginés López-Pérez (a2) and Abraham Rueda Zoca (a3)

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