Disjointly non-singular operators on Banach lattices

Disjointly non-singular operators on Banach lattices

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

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Veröffentlicht in:Journal of functional analysis 2021-04, Vol.280 (8), p.108944, Article 108944
Hauptverfasser: González, Manuel, Martínez-Abejón, Antonio, Martinón, Antonio
Format: Artikel
Sprache:eng
Schlagworte:
Banach lattices
Disjointly strictly singular operator
Perturbation theory
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Zusammenfassung: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
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2021.108944