Two characterizations of the standard unit vector basis of $l_1$

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dc.creatorMitra, David
dc.date2000-10-12
dc.date.accessioned2026-07-07T04:38:00Z
dc.date.available2026-07-07T04:38:00Z
dc.descriptionWe show that for a sequence in a Banach space, the property of being stable under large perturbations characterizes the property of being equivalent to the unit vector basis of $l_1$. We show that a normalized unconditional basic sequence in $l_1$ that is semi-normalized in $l_\infty$ is equivalent to the standard unit vector basis of~$l_1$.
dc.descriptionLatex. 8 pgs
dc.identifierhttps://arxiv.org/abs/math/0010128
dc.identifierhttp://arxiv.org/abs/math/0010128
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/60115
dc.subjectFunctional Analysis
dc.subject46B45 (Primary), 46B15 (Secondary)
dc.titleTwo characterizations of the standard unit vector basis of $l_1$
dc.typetext

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