Uniqueness of unconditional bases in c_0-products

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dc.creatorCasazza, Peter G.
dc.creatorKalton, Nigel J.
dc.date1998-11-24
dc.date.accessioned2026-07-07T05:26:58Z
dc.date.available2026-07-07T05:26:58Z
dc.descriptionWe give counterexamples to a conjecture of Bourgain, Casazza, Lindenstrauss and Tzafriri that if X has a unique unconditional basis (up to permutation) then so does c_0(X). In particular, we show that for Tsirelson's space T, every unconditional basis of c_0(T) must be equivalent to a subsequence of the canonical basis but c_0(T) still fails to have a unique unconditional basis. We also give some positive results including a simpler proof that c_0(l_1)has a unique unconditional basis.
dc.description23 pages; to appear: Studia Math
dc.identifierhttps://arxiv.org/abs/math/9811145
dc.identifierhttp://arxiv.org/abs/math/9811145
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77757
dc.subjectFunctional Analysis
dc.subject46B15; 46B07
dc.titleUniqueness of unconditional bases in c_0-products
dc.typetext

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