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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  and
JAWAD HMICHANE
BELMESNAOUI AQZZOUZ
Affiliation:
Université Mohammed V-Souissi, Faculté des Sciences Economiques, Juridiques et Sociales, Département d'Economie, B.P. 5295, SalaEljadida, Morocco e-mail: [email protected]
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.

Keywords

46A4046B4046B42
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 1 , January 2009 , pp. 101 - 108
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

References

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