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Some characterizations of compact operators on Banach lattices
Authors:Belmesnaoui Aqzzouz  Aziz Elbour
Affiliation:(1) Faculté des Sciences Economiques, Juridiques et Sociales, Département d’Economie, Université Mohammed V-Souissi, B.P. 5295, SalaEljadida, Morocco;(2) Faculté des Sciences, Département de Mathématiques, Université Ibn Tofail, B.P. 133, Kénitra, Morocco
Abstract:We study the compactness of the class of operators which are AM-compact and semi-compact on Banach lattices and as consequences, we obtain some characterizations of order continuous norms.
Keywords:compact operator  AM-compact operator  semi-compact operator  order continuous norm  discrete Banach lattice
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