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d-Operators in Banach Lattices
Published 16 Jan 2024 in math.FA | (2401.08792v4)
Abstract: We study operators carrying disjoint bounded subsets of a Banach lattice into compact, weakly compact, and limited subsets of a Banach space. Surprisingly, these operators behave differently with classical compact, weakly compact, and limited operators. We introduce and investigate d-Andrews operators which carry disjoint bounded sets onto Dunford--Pettis sets.
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