The Bourgain ℓ1-index of mixed Tsirelson space

Please use this identifier to cite or link to this item: https://doi.org/10.1016/S0022-1236(02)00171-4

Title:	The Bourgain ℓ1-index of mixed Tsirelson space
Authors:	Leung, D.H. Tang, W.-K.
Keywords:	Bourgain's ℓ1-index Mixed Tsirelson space Schreier families
Issue Date:	20-Apr-2003
Citation:	Leung, 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
Abstract:	Suppose 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]
Source Title:	Journal of Functional Analysis
URI:	http://scholarbank.nus.edu.sg/handle/10635/104258
ISSN:	00221236
DOI:	10.1016/S0022-1236(02)00171-4
Appears in Collections:	Staff Publications

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