Dual maps and the Dunford-Pettis property
Functional Analysis
2015-10-07 v1
Abstract
We characterize the points of - continuity of dual maps, turning out to be the smooth points. We prove that a Banach space has the Schur property if and only if it has the Dunford-Pettis property and there exists a dual map that is sequentially - continuous at . As consequence, we show the existence of smooth Banach spaces on which the dual map is not - continuous at .
Keywords
Cite
@article{arxiv.1510.01531,
title = {Dual maps and the Dunford-Pettis property},
author = {Francisco J. García-Pacheco and Alejandro Miralles and Daniele Puglisi},
journal= {arXiv preprint arXiv:1510.01531},
year = {2015}
}
Comments
6 pages