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Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0022-1236(02)00171-4
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dc.titleThe Bourgain ℓ1-index of mixed Tsirelson space
dc.contributor.authorLeung, D.H.
dc.contributor.authorTang, W.-K.
dc.date.accessioned2014-10-28T02:47:05Z
dc.date.available2014-10-28T02:47:05Z
dc.date.issued2003-04-20
dc.identifier.citationLeung, D.H., Tang, W.-K. (2003-04-20). The Bourgain ℓ1-index of mixed Tsirelson space. Journal of Functional Analysis 199 (2) : 301-331. ScholarBank@NUS Repository. https://doi.org/10.1016/S0022-1236(02)00171-4
dc.identifier.issn00221236
dc.identifier.urihttp://scholarbank.nus.edu.sg/handle/10635/104258
dc.description.abstractSuppose that (Fn)n=0 ∞ is a sequence of regular families of finite subsets of ℕ such that F0 contains all singletons, and (θn n=1 ∞ is a nonincreasing null sequence in (0, 1). The mixed Tsirelson space T(F0, (θn, Fn)n=1 ∞) is the completion of c00 with respect to the implicitly defined norm A figure is presented where x F0 = supFεF0 Fx ℓ 1 and the last supremum is taken over all sequences (Ei i=1 k, in [ℕ]
dc.description.urihttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1016/S0022-1236(02)00171-4
dc.sourceScopus
dc.subjectBourgain's ℓ1-index
dc.subjectMixed Tsirelson space
dc.subjectSchreier families
dc.typeArticle
dc.contributor.departmentMATHEMATICS
dc.description.doi10.1016/S0022-1236(02)00171-4
dc.description.sourcetitleJournal of Functional Analysis
dc.description.volume199
dc.description.issue2
dc.description.page301-331
dc.description.codenJFUAA
dc.identifier.isiut000182440700002
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