Antonín Procházka, Abraham Rueda Zoca
Published 2016-12-12Version 1
We characterise the octahedrality of Lipschitz-free space norm in terms of a new geometric property of the underlying metric space. We study the metric spaces with and without this property. Quite surprisingly, metric spaces without this property cannot embed isometrically into $\ell_1$ and similar Banach spaces.
Preliminaries on pseudo-contractions in the intermediate sense for non-cyclic and cyclic self-mappings in metric spaces
The Besov Capacity In Metric Spaces
Common fixed points for set-valued contraction on a metric space with graph
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