On Schreier unconditional sequences

dc.creatorOdell, Edward
dc.date1991-03-22
dc.date.accessioned2026-07-07T09:14:41Z
dc.date.available2026-07-07T09:14:41Z
dc.descriptionLet $(x_n)$ be a normalized weakly null sequence in a Banach space and let $\varep>0$. We show that there exists a subsequence $(y_n)$ with the following property: $$\hbox{ if }\ (a_i)\subseteq \IR\ \hbox{ and }\ F\subseteq \nat$$ satisfies $\min F\le |F|$ then $$\big\|\sum_{i\in F} a_i y_i\big\| \le (2+\varep) \big\| \sum a_iy_i\big\|\ . $$
dc.identifierhttps://arxiv.org/abs/math/9201224
dc.identifierhttp://arxiv.org/abs/math/9201224
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152762
dc.subjectFunctional Analysis
dc.subject46B
dc.titleOn Schreier unconditional sequences
dc.typetext

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