Weakly null sequences with upper estimates

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dc.creatorFreeman, Daniel
dc.date2007-05-02
dc.date.accessioned2026-07-07T07:59:07Z
dc.date.available2026-07-07T07:59:07Z
dc.descriptionWe prove that if $(v_i)$ is a normalized basic sequence and X is a Banach space such that every normalized weakly null sequence in X has a subsequence that is dominated by $(v_i)$, then there exists a uniform constant $C\geq1$ such that every normalized weakly null sequence in X has a subsequence that is C-dominated by $(v_i)$. This extends a result of Knaust and Odell, who proved this for the cases in which $(v_i)$ is the standard basis for $\ell_p$ or $c_0$.
dc.description21 pages
dc.identifierhttps://arxiv.org/abs/0705.0218
dc.identifierhttp://arxiv.org/abs/0705.0218
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/128248
dc.subjectFunctional Analysis
dc.subject46B20; 46B03, 46B10
dc.titleWeakly null sequences with upper estimates
dc.typetext

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