On the class of disjoint limited completely continuous operators
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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.
KeywordsLimited set Almost L-limited set Gelfand–Phillips property Almost Gelfand–Phillips property Disjoint limited completely continuous operators Order continuous norm
Mathematics Subject Classification46B42 47B60 47B65
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