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arXiv · 2401.08792

d-Operators in Banach Lattices

Eduard Emelyanov·Nazife Erkurşun-Özcan·Svetlana Gorokhova
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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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Eduard Emelyanov, Nazife Erkurşun-Özcan, Svetlana Gorokhova. 2024-01-16. d-Operators in Banach Lattices. https://arxiv.org/abs/2401.08792

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