On the class of disjoint limited completely continuous operators |
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| Authors: | Jawad H’michane Noufissa Hafidi Larbi Zraoula |
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| Institution: | 1.Département de Mathématiques, Faculté des Sciences,Université Moulay Ismail,Zitoune, Meknes,Morocco;2.Centre régional des métiers de l’éducation et de la formation Rabat-Salé-Kénitra Annexe Kénitra, Laboratoire de recherche en enseignement, apprentissage, mathématiques et applications,CRMEF-Kénitra,Kénitra,Morocco |
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| Abstract: | We introduce and study new class of sets (almost L-limited sets). Also, we introduce new concept of property in Banach lattice (almost Gelfand–Phillips property) and we characterize this property using almost L-limited sets. On the other hand, we introduce the class of disjoint limited completely continuous operators which is a largest class than that of limited completely continuous operators, we characterize this class of operators and we study some of its properties. |
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