Disjointly non-singular operators on Banach lattices

2020/12/19 by González, Manuel, nez-Abejón, Antonio Martí, Martinón, Antonio
#46B42 #47A55 #47B60 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2012.10683

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=L_p (1< p

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