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Some results on order bounded almost weak Dunford-Pettis operators. (English) Zbl 1374.47059

The class of almost weak Dunford-Pettis operators was introduced by K. Bouras and M. Moussa [Positivity 17, No. 3, 589–600 (2013; Zbl 1366.46012)]. The authors find conditions on Banach lattices \(E,F\), under which the notions of almost weak and weak Dunford-Pettis operators coincide for order bounded operators \(T:\;E\to F\).

MSC:

47B60 Linear operators on ordered spaces
46B42 Banach lattices

Citations:

Zbl 1366.46012
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