Compactness properties of operators dominated by AM-compact operators
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- by Belmesnaoui Aqzzouz, Redouane Nouira and Larbi Zraoula PDF
- Proc. Amer. Math. Soc. 135 (2007), 1151-1157 Request permission
Erratum: Proc. Amer. Math. Soc. 137 (2009), 2813-2815.
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.References
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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
- Received by editor(s): July 7, 2005
- Received by editor(s) in revised form: November 14, 2005
- Published electronically: October 13, 2006
- Communicated by: Joseph A. Ball
- © Copyright 2006 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 135 (2007), 1151-1157
- MSC (2000): Primary 46A40, 46B40, 46B42
- DOI: https://doi.org/10.1090/S0002-9939-06-08585-6
- MathSciNet review: 2262919