This is an announcement for the paper "Octahedrality in Lipschitz free Banach spaces" by Julio Becerra Guerrero, Gines Lopez-Perez, and Abraham Rueda.
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. As a consequence, we get that the space of Lipschitz functions on a metric space valued in a dual Banach space satisfies the weak-star strong diameter two property, under natural topological hipothesess on the metric space. Also, we show an example proving that these hypotheses are optimal.
Archive classification: math.FA
Remarks: 18 pages
Submitted from: glopezp@ugr.es
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1512.03558
or