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

Machrafi, Nabil; Elbour, Aziz; Moussa, Mohammed

Methods Funct. Anal. Topol. 22, No. 3, 256-265 (2016).

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 \(T:\;E\to F\).

Reviewer: Anatoly N. Kochubei (Kyïv)

MSC:

47B60	Linear operators on ordered spaces
46B42	Banach lattices

Keywords:

weak Dunford-Pettis operators; almost weak Dunford-Pettis operators; Banach lattices; order bounded operators

Citations:

Zbl 1366.46012