Banach spaces with many boundedly complete basic sequences failing PCP

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dc.creatorPerez, Gines Lopez
dc.date2009-02-19
dc.date.accessioned2026-07-07T12:44:13Z
dc.date.available2026-07-07T12:44:13Z
dc.descriptionWe prove that there exist Banach spaces not containing $\ell_1$, failing the point of continuity property and satisfying that every semi-normalized basic sequence has a boundedly complete basic subsequence. This answers in the negative the problem of the Remark 2 in H. P. Rosenthal. "Boundedly complete weak-Cauchy sequences in Banach spaces with PCP." J. Funct. Anal. 253 (2007) 772-781.
dc.identifierhttps://arxiv.org/abs/0902.3422
dc.identifierhttp://arxiv.org/abs/0902.3422
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/220691
dc.subjectFunctional Analysis
dc.subject46B20; 46B22
dc.titleBanach spaces with many boundedly complete basic sequences failing PCP
dc.typetext

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