2015/12/11 by Guerrero, Julio Becerra, López-Pérez, Ginés, Zoca, Abraham Rueda
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.1512.03558
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.