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On a Question of Bouras concerning weak compactness of almost Dunford-Pettis sets by Chen, Jin Xi; Li, Lei is a scholarly article available to read on EtoBox.

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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.

Author

Chen, Jin Xi; Li, Lei

Published

2016

Language

EN