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Compactness properties of operators dominated by AM-compact operators
Author(s):
Belmesnaoui
Aqzzouz;
Redouane
Nouira;
Larbi
Zraoula
Journal:
Proc. Amer. Math. Soc.
135
(2007),
1151-1157.
MSC (2000):
Primary 46A40, 46B40, 46B42
Posted:
October 13, 2006
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Abstract:
We study several properties about the problem of domination in the class of positive AM-compact operators, and we obtain some interesting consequences on positive compact operators. Also, we give a sufficient condition under which a Banach lattice is discrete.
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Additional Information:
Belmesnaoui
Aqzzouz
Affiliation:
Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, Equipe d'Analyse Fonctionnelle, B.P. 133, Kénitra, Morocco
Email:
baqzzouz@hotmail.com
Redouane
Nouira
Affiliation:
Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, Equipe d'Analyse Fonctionnelle, B.P. 133, Kénitra, Morocco
Larbi
Zraoula
Affiliation:
Département de Mathématiques, Faculté des Sciences, Université Ibn Tofail, Equipe d'Analyse Fonctionnelle, B.P. 133, Kénitra, Morocco
DOI:
10.1090/S0002-9939-06-08585-6
PII:
S 0002-9939(06)08585-6
Keywords:
AM-compact operator,
order continuous norm,
discrete vector lattice.
Received by editor(s):
July 7, 2005
Received by editor(s) in revised form:
November 14, 2005
Posted:
October 13, 2006
Communicated by:
Joseph A. Ball
Copyright of article:
Copyright
2006,
American Mathematical Society
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