Separable Lindenstrauss spaces whose duals lack the weak$^*$ fixed point property for nonexpansive mappings
Functional Analysis
2015-04-01 v1
Abstract
In this paper we study the -fixed point property for nonexpansive mappings. First we show that the dual space lacks the -fixed point property whenever contains an isometric copy of the space . Then, the main result of our paper provides several characterizations of weak-star topologies that fail the fixed point property for nonexpansive mappings in space. This result allows us to obtain a characterization of all separable Lindenstrauss spaces inducing the failure of -fixed point property in .
Cite
@article{arxiv.1503.08875,
title = {Separable Lindenstrauss spaces whose duals lack the weak$^*$ fixed point property for nonexpansive mappings},
author = {Emanuele Casini and Enrico Miglierina and Łukasz Piasecki},
journal= {arXiv preprint arXiv:1503.08875},
year = {2015}
}