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THE DUALITY PROBLEM FOR THE CLASS OF ORDER WEAKLY COMPACT OPERATORS

Published online by Cambridge University Press:  01 January 2009

BELMESNAOUI AQZZOUZ
Affiliation:
Université Mohammed V-Souissi, Faculté des Sciences Economiques, Juridiques et Sociales, Département d'Economie, B.P. 5295, SalaEljadida, Morocco e-mail: baqzzouz@hotmail.com
JAWAD HMICHANE
Affiliation:
Université Ibn Tofail, Faculté des Sciences, Département de Mathématiques, B.P. 133, Kénitra, Morocco
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Abstract

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We study the duality problem for order weakly compact operators by giving sufficient and necessary conditions under which the order weak compactness of an operator implies the order weak compactness of its adjoint and conversely.

Information

Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008