On a Question of Bouras concerning weak compactness of almost Dunford-Pettis sets
Functional Analysis
2016-09-23 v1
Abstract
We give a positive answer to the question of K. Bouras [`Almost Dunford-Pettis sets in Banach lattices', \textit{Rend. Circ. Mat. Palermo (2)} \textbf{ 62} (2013), 227--236] concerning weak compactness of almost Dunford-Pettis sets in Banach lattices. That is, every almost Dunford-Pettis set in a Banach lattice is relatively weakly compact if, and only if, is a -space.
Cite
@article{arxiv.1609.06906,
title = {On a Question of Bouras concerning weak compactness of almost Dunford-Pettis sets},
author = {Jin Xi Chen and Lei Li},
journal= {arXiv preprint arXiv:1609.06906},
year = {2016}
}
Comments
4 pages