Title: L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices
Author(s): Halimeh Ardakani, Manijeh Salimi
Pages: 149-161
Cite as:
Halimeh Ardakani, Manijeh Salimi, L-Dunford–Pettis and Almost L-Dunford–Pettis Sets in Dual Banach Lattices, Int. J. Anal. Appl., 16 (2) (2018), 149-161.

Abstract


Following the concept of L–limited sets in dual Banach spaces introduced by Salimi and Moshtaghioun, we introduce the concepts of L–Dunford–Pettis and almost L–Dunford–Pettis sets in dual Banach lattices and then by a class of operators on Banach lattices, so called disjoint Dunford–Pettis completely continuous operators, we characterize Banach lattices in which almost L–Dunford–Pettis subsets of their dual, coincide with L–Dunford–Pettis sets.

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