Sur les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts

Aqzzouz, Belmesnaoui; Nouira, Redouane; Zraoula, Larbi

doi:10.1090/S0002-9939-05-08083-4

Sur les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts
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by Belmesnaoui Aqzzouz, Redouane Nouira and Larbi Zraoula PDF

Proc. Amer. Math. Soc. 134 (2006), 1161-1165 Request permission

Abstract:

Nous donnons des conditions nécessaires et suffisantes pour que tout opérateur de Dunford-Pettis positif sur un treillis de Banach, soit faiblement compact et nous déduisons quelques conséquences. We give necessary and sufficient conditions so that every positive Dunford-Pettis operator on a Banach lattice be weakly compact, and we deduce some consequences.

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