\ell^1-spreading models in subspaces of mixed Tsirelson spaces
| dc.creator | Leung, Denny H. | |
| dc.creator | Tang, Wee-Kee | |
| dc.date | 2003-06-07 | |
| dc.date.accessioned | 2026-07-07T04:58:40Z | |
| dc.date.available | 2026-07-07T04:58:40Z | |
| dc.description | We investigate the existence of higher order \ell^1-spreading models in subspaces of mixed Tsirelson spaces. For instance, we show that the following conditions are equivalent for the mixed Tsirelson space X=T[(θ_n,S_n)_{n=1}^{\infty}] (1)Every block subspace of $X$ contains an \ell^1-S_ω-spreading model, (2)The Bourgain \ell^1-index I_b(Y) = I(Y) > ω^ω for any block subspace Y of X, (3)\lim_m\limsup_nθ_{m+n}/θ_n > 0 and every block subspace Y of X contains a block sequence equivalent to a subsequence of the unit vector basis of X. Moreover, if one (and hence all) of these conditions holds, then X is arbitrarily distortable. | |
| dc.identifier | https://arxiv.org/abs/math/0306133 | |
| dc.identifier | http://arxiv.org/abs/math/0306133 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/67731 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B | |
| dc.title | \ell^1-spreading models in subspaces of mixed Tsirelson spaces | |
| dc.type | text |