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Disjointly non-singular operators on Banach lattices

Abstract: An operator T from a Banach lattice E into a Banach space is disjointly non-singular (DN-S, for short) if no restriction of T to a subspace generated by a disjoint sequence is strictly singular. We obtain several results for DN-S operators, including a perturbative characterization. For E=Lp (1

 Fuente: Journal of Functional Analysis, 2021, 280(8), 108944

 Publisher: Elsevier

 Year of publication: 2021

 No. of pages: 14

 Publication type: Article

 DOI: 10.1016/j.jfa.2021.108944

 ISSN: 0022-1236,1096-0783

 Spanish project: PID2019-103961GB-C22

 Publication Url: https://doi.org/10.1016/j.jmaa.2023.127685

Authorship

ANTONIO MARTINEZ ABEJON

MARTINÓN, ANTONIO