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Sur l'ideal d'ordre des operateurs AM-compacts
Authors:
Belmesnaoui Aqzzouz and Redouane Nouira
Journal:
Proc. Amer. Math. Soc. 134 (2006), 3515-3523
MSC (2000):
Primary 46A40, 46B40, 46B42
Posted:
June 8, 2006
MathSciNet review:
2240663
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Abstract: We give different necessary and sufficient conditions so that the space of AM-compact operators is an order ideal and we deduce some consequences. R´ESUME. Nous donnons différentes conditions nécessaires et suffisantes pour que l'espace des opérateurs AM-compacts soit un idéal d'ordre et nous déduisons quelques conséquences.
References
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Additional Information
Belmesnaoui Aqzzouz
Affiliation:
Faculté des Sciences, Département de Mathématiques, Université Ibn Tofail, Equipe d'Analyse Fonctionnelle, B.P. 133, Kénitra, Morocco
Email:
baqzzouz@hotmail.com
Redouane Nouira
Affiliation:
Faculté des Sciences, Département de Mathématiques, Université Ibn Tofail, Equipe d'Analyse Fonctionnelle, B.P. 133, Kénitra, Morocco
DOI:
http://dx.doi.org/10.1090/S0002-9939-06-08374-2
PII:
S 0002-9939(06)08374-2
Keywords:
Op\'{e}rateur AM-compact,
norme continue pour l'ordre,
treillis vectoriel discret
Received by editor(s):
March 23, 2005
Received by editor(s) in revised form:
June 14, 2005
Posted:
June 8, 2006
Communicated by:
Joseph A. Ball
Article copyright:
© Copyright 2006 American Mathematical Society
The copyright for this article reverts to public domain after
28 years from publication.
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