The Bourgain ell ^1-index of mixed Tsirelson space
| dc.creator | Leung, Denny H. | |
| dc.creator | Tang, Wee-Kee | |
| dc.date | 2001-10-15 | |
| dc.date.accessioned | 2026-07-07T04:43:50Z | |
| dc.date.available | 2026-07-07T04:43:50Z | |
| dc.description | Suppose that (F_n)_{n=0}^{\infty} is a sequence of regular families of finite subsets of N such that F_0 contains all singletons, and (θ_n)_{n=1}^{\infty} is a nonincreasing null sequence in (0,1). In this paper, we compute the Bourgain \ell^1 - index of the mixed Tsirelson space T(F_0,(θ_n, F_n)_{n=1}^{\infty}). As a consequence, it is shown that if ηis a countable ordinal not of the form ω^ξfor some limit ordinal ξ, then there is a Banach space whose \ell^1-index is ω^η. This answers a question of Judd and Odell. | |
| dc.description | 25 pages | |
| dc.identifier | https://arxiv.org/abs/math/0110154 | |
| dc.identifier | http://arxiv.org/abs/math/0110154 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/62395 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B | |
| dc.title | The Bourgain ell ^1-index of mixed Tsirelson space | |
| dc.type | text |