On certain equivalent norms on Tsirelson's space

dc.creatorOdell, Edward
dc.creatorTomczak-Jaegermann, Nicole
dc.date1998-04-09
dc.date.accessioned2026-07-07T05:24:23Z
dc.date.available2026-07-07T05:24:23Z
dc.descriptionTsirelson's space $T$ is known to be distortable but it is open as to whether or not $T$ is arbitrarily distortable. For $n\in {\Bbb N}$ the norm $\|\cdot\|_n$ of the Tsirelson space $T(S_n,2^{-n})$ is equivalent to the standard norm on $T$. We prove there exists $K<\infty$ so that for all $n$, $\|\cdot\|_n$ does not $K$ distort any subspace $Y$ of $T$.
dc.description19 pp., LaTeX
dc.identifierhttps://arxiv.org/abs/math/9804057
dc.identifierhttp://arxiv.org/abs/math/9804057
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/76816
dc.subjectFunctional Analysis
dc.subject46B03
dc.titleOn certain equivalent norms on Tsirelson's space
dc.typetext

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