1 Apr
2017
1 Apr
'17
11:56 p.m.
This is an announcement for the paper “Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete” by Tomasz Kochanekhttps://arxiv.org/find/math/1/au:+Kochanek_T/0/1/0/all/0/1, Eva Perneckáhttps://arxiv.org/find/math/1/au:+Pernecka_E/0/1/0/all/0/1.
Abstract: Let $M$ be a compact subset of a superreflexive Banach space. We prove a certain `weak$^*$-version' of Pe\l czy'nski's property (V) for the Banach space of Lipschitz functions on $M$. As a consequence, we show that its predual, the Lipschitz-free space $\mathbb{F}(M)$, is weakly sequentially complete.
The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1703.07896