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.References
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Additional Information
- Belmesnaoui Aqzzouz
- Affiliation: Université ibn Tofail, Faculté des Sciences, Département de Mathématiques, Equipe d’analyse Fonctionnelle, B.P. 133, Kenitra, Morocco
- Email: baqzzouz@hotmail.com
- Redouane Nouira
- Affiliation: Université ibn Tofail, Faculté des Sciences, Département de Mathématiques, Equipe d’analyse Fonctionnelle, B.P. 133, Kenitra, Morocco
- Larbi Zraoula
- Affiliation: Université ibn Tofail, Faculté des Sciences, Département de Mathématiques, Equipe d’analyse Fonctionnelle, B.P. 133, Kenitra, Morocco
- Received by editor(s): October 8, 2004
- Received by editor(s) in revised form: November 10, 2004
- Published electronically: October 5, 2005
- Communicated by: Joseph A. Ball
- © Copyright 2005 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 134 (2006), 1161-1165
- MSC (2000): Primary 46B40, 47H07
- DOI: https://doi.org/10.1090/S0002-9939-05-08083-4
- MathSciNet review: 2196052