d-Operators in Banach Lattices
Functional Analysis
2024-10-01 v4
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.
Cite
@article{arxiv.2401.08792,
title = {d-Operators in Banach Lattices},
author = {Eduard Emelyanov and Nazife Erkurşun-Özcan and Svetlana Gorokhova},
journal= {arXiv preprint arXiv:2401.08792},
year = {2024}
}
Comments
14 pages