ON A QUESTION OF BOURAS CONCERNING WEAK COMPACTNESS OF ALMOST DUNFORD–PETTIS SETS

Jin Xi Chen, Lei Li

Type: Article

Publication Date: 2015-04-02

Citations: 9

DOI: https://doi.org/10.1017/s0004972715000179

Abstract

We give a positive answer to the question of Bouras [‘Almost Dunford–Pettis sets in Banach lattices’, Rend. Circ. Mat. Palermo (2) 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 $\mathit{KB}$ -space.

Locations

Bulletin of the Australian Mathematical Society - View - PDF
arXiv (Cornell University) - View - PDF

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