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Disjointly strictly singular operators and interpolation

García del Amo Jiménez, Alejandro José and Hernández, Francisco L. and Ruiz, César (1996) Disjointly strictly singular operators and interpolation. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 126 (5). pp. 1011-1026. ISSN 0308-2105

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Abstract

Interpolation properties of the class of disjointly strictly singular operators on Banach lattices are studied. We also give some applications to compare the lattice structure of two rearrangement invariant function spaces. In particular, we obtain suitable analytic characterisations of when the inclusion map between two Orlicz function spaces is disjointly strictly singular.

Item Type:Article
Uncontrolled Keywords:Orlicz spaces; interpolation properties; disjointly strictly singular operators on Banach lattices; lattice structure; rearrangement invariant function spaces; Orlicz function spaces
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:16121
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