L-Dunford-Pettis property in Banach spaces
Functional Analysis
2017-01-04 v1
Abstract
In this paper, we introduce and study the concept of L-Dunford-Pettis sets and L-Dunford-Pettis property in Banach spaces. Next, we give a characterization of the L-Dunford-Pettis property with respect to some well-known geometric properties of Banach spaces. Finally, some complementability of operators on Banach spaces with the L-Dunford-Pettis property are also investigated
Keywords
Cite
@article{arxiv.1701.00552,
title = {L-Dunford-Pettis property in Banach spaces},
author = {A. Retbi and B. El Wahbi},
journal= {arXiv preprint arXiv:1701.00552},
year = {2017}
}
Comments
Published in Methods of Functional Analysis and Topology (MFAT), available at http://mfat.imath.kiev.ua/article/?id=916