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Sur les opérateurs de Dunford-Pettis positifs qui sont faiblement compacts
Author(s):
Belmesnaoui
Aqzzouz;
Redouane
Nouira;
Larbi
Zraoula
Journal:
Proc. Amer. Math. Soc.
134
(2006),
1161-1165.
MSC (2000):
Primary 46B40, 47H07
Posted:
October 5, 2005
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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.
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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
DOI:
10.1090/S0002-9939-05-08083-4
PII:
S 0002-9939(05)08083-4
Received by editor(s):
October 8, 2004
Received by editor(s) in revised form:
November 10, 2004
Posted:
October 5, 2005
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2005,
American Mathematical Society
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