Estimates of disjoint sequences in Banach lattices and R.I. function spaces

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dc.creatorGonzalo, R.
dc.creatorJaramillo, J. A.
dc.date2004-04-29
dc.date.accessioned2026-07-07T05:07:48Z
dc.date.available2026-07-07T05:07:48Z
dc.descriptionWe introduce UDSp-property (resp. UDTq-property) in Banach lattices as the property that every normalized disjoint sequence has a subsequence with an upper p-estimate (resp. lower q-estimate). In the case of rearrangement invariant spaces, the relationships with Boyd indices of the space are studied. Some applications of these properties are given to the high order smoothness of Banach lattices, in the sense of the existence of differentiable bump functions.
dc.identifierhttps://arxiv.org/abs/math/0404526
dc.identifierhttp://arxiv.org/abs/math/0404526
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/71003
dc.subjectFunctional Analysis
dc.subject46B42; 46E30; 46G05
dc.titleEstimates of disjoint sequences in Banach lattices and R.I. function spaces
dc.typetext

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