Geodesic
A NOTE ON CERTAIN EQUIVALENT NORMS ON TSIRELSON'S SPACE
Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 379-390

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DOI

We prove that the norm $\Vert\,{\cdot}\,\Vert_{n}$ of the space $T[\mathcal{S}_{n},\theta]$ and the norm $\Vert\,{\cdot}\,\Vert_{n}^{M}$ of its modified version $T_{M}[\mathcal{S}_{n},\theta]$ are 3-equivalent. As a consequence, using the results of E. Odell and N. Tomczak-Jaegermann, we obtain that there exists a $K\,{<}\,\infty$ such that for all $n$, $\Vert\cdot\Vert_{n}^{M}$ does not $K-$ distort any subspace of Tsirelson's space $T$.
DOI : 10.1017/S0017089504001867
Mots-clés : 46B03, 46B20 
MANOUSSAKIS, A. A NOTE ON CERTAIN EQUIVALENT NORMS ON TSIRELSON'S SPACE. Glasgow mathematical journal, Tome 46 (2004) no. 2, pp. 379-390. doi: 10.1017/S0017089504001867
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     title = {A {NOTE} {ON} {CERTAIN} {EQUIVALENT} {NORMS} {ON} {TSIRELSON'S} {SPACE}},
     journal = {Glasgow mathematical journal},
     pages = {379--390},
     year = {2004},
     volume = {46},
     number = {2},
     doi = {10.1017/S0017089504001867},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089504001867/}
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