Semilattice Structures of Spreading Models

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dc.creatorLeung, Denny H.
dc.creatorTang, Wee-Kee
dc.date2007-08-23
dc.date.accessioned2026-07-07T08:25:11Z
dc.date.available2026-07-07T08:25:11Z
dc.descriptionGiven a Banach space X, denote by SP_{w}(X) the set of equivalence classes of spreading models of X generated by normalized weakly null sequences in X. It is known that SP_{w}(X) is a semilattice, i.e., it is a partially ordered set in which every pair of elements has a least upper bound. We show that every countable semilattice that does not contain an infinite increasing sequence is order isomorphic to SP_{w}(X) for some separable Banach space X.
dc.identifierhttps://arxiv.org/abs/0708.3126
dc.identifierhttp://arxiv.org/abs/0708.3126
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/136575
dc.subjectFunctional Analysis
dc.subject46B20, 46B15
dc.titleSemilattice Structures of Spreading Models
dc.typetext

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