On total incomparability of mixed Tsirelson spaces
| dc.creator | Bernues, Julio | |
| dc.creator | Pascual, Javier | |
| dc.date | 2001-03-01 | |
| dc.date.accessioned | 2026-07-07T04:40:27Z | |
| dc.date.available | 2026-07-07T04:40:27Z | |
| dc.description | We give criteria of total incomparability for certain classes of mixed Tsirelson spaces. We show that spaces of the form $T[(M_k,θ_k)_{k=1}^{\ell}]$ with index $i(M_k)$ finite are either $c_0$ or $\ell_p$ saturated for some $p$ and we characterize when any two spaces of such a form are totally incomparable in terms of the index $i(M_k)$ and the parameter $θ_k$. Also, we give sufficient conditions of total incomparability for a particular class of spaces of the form $T[(A_k,θ_k)_{k=1}^\infty]$ in terms of the asymptotic behaviour of the sequence $\Vert\sum_{i=1}^n e_i\Vert$ where $(e_i)$ is the canonical basis. | |
| dc.description | 13 pages. To be published in Czech. Math. Jour | |
| dc.identifier | https://arxiv.org/abs/math/0103003 | |
| dc.identifier | http://arxiv.org/abs/math/0103003 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/61031 | |
| dc.subject | Functional Analysis | |
| dc.subject | 46B03; 46B20 | |
| dc.title | On total incomparability of mixed Tsirelson spaces | |
| dc.type | text |