Weakly null sequences in the Banach space C(K)

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dc.creatorGasparis, I.
dc.creatorOdell, E.
dc.creatorWahl, B.
dc.date2004-02-12
dc.date.accessioned2026-07-07T05:05:24Z
dc.date.available2026-07-07T05:05:24Z
dc.descriptionThe hierarchy of the block bases of transfinite normalized averages of a normalized Schauder basic sequence is introduced and a criterion is given for a normalized weakly null sequence in C(K), the Banach space of scalar valued functions continuous on the compact metric space K, to admit a block basis of normalized averages equivalent to the unit vector basis of c_0, the Banach space of null scalar sequences. As an application of this criterion, it is shown that every normalized weakly null sequence in C(K), for countable K, admits a block basis of normalized averages equivalent to the unit vector basis of c_0.
dc.description36 pages
dc.identifierhttps://arxiv.org/abs/math/0402202
dc.identifierhttp://arxiv.org/abs/math/0402202
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/70151
dc.subjectFunctional Analysis
dc.subject46B03
dc.titleWeakly null sequences in the Banach space C(K)
dc.typetext

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