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diameter 2 properties

Proceedings of the Royal Society of Edinburgh Section A: Mathematics (1)

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1 results

Octahedrality in Lipschitz-free Banach spaces
Part of
- Normed linear spaces and Banach spaces; Banach lattices
- General convexity
Julio Becerra Guerrero, Ginés López-Pérez, Abraham Rueda Zoca
Journal:

Proceedings of the Royal Society of Edinburgh. Section A: Mathematics / Volume 148 / Issue 3 / June 2018

Published online by Cambridge University Press:

28 December 2017, pp. 447-460

Print publication:

June 2018
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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.