Distorting Mixed Tsirelson Spaces

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dc.creatorAndroulakis, George
dc.creatorOdell, Edward
dc.date1996-04-19
dc.date.accessioned2026-07-07T09:15:29Z
dc.date.available2026-07-07T09:15:29Z
dc.descriptionAny regular mixed Tsirelson space $T(θ_n,S_n)_{\N}$ for which $\frac{θ_n}{θ^n} \to 0$, where $θ=\lim_n θ_n^{1/n}$, is shown to be arbitrarily distortable. Certain asymptotic $\ell_1$ constants for those and other mixed Tsirelson spaces are calculated. Also a combinatorial result on the Schreier families $(S_α)_{α< ω_1}$ is proved and an application is given to show that for every Banach space $X$ with a basis $(e_i)$, the two $Δ$-spectrums $Δ(X)$ and $Δ(X,(e_i))$ coincide.
dc.identifierhttps://arxiv.org/abs/math/9604217
dc.identifierhttp://arxiv.org/abs/math/9604217
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/153032
dc.subjectFunctional Analysis
dc.subject46B20
dc.titleDistorting Mixed Tsirelson Spaces
dc.typetext

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