[Banach] Abstract of a paper by Jin Xi Chen, Lei Li

This is an announcement for the paper “On a Question of Bouras concerning weak compactness of almost Dunford-Pettis sets” by Jin Xi Chenhttps://arxiv.org/find/math/1/au:+Chen_J/0/1/0/all/0/1, Lei Lihttps://arxiv.org/find/math/1/au:+Li_L/0/1/0/all/0/1.

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 $E$ is relatively weakly compact if, and only if, $E$ is a $KB$-space.

The paper may be downloaded from the archive by web browser from URL https://arxiv.org/abs/1609.06906