Stabilization of Tsirelson-type norms on $\ell_p$ spaces

Details Stabilization of Tsirelson-type norms on $\ell_p$ spaces Stabilization of Tsirelson-type norms on $\ell_p$ spaces

2005-08-18

arxiv.org/abs/math/0508352v1

Mathematics

Functional Analysis

10 pages

Scientific paper

We consider classical Tsirelson-type norms of $T[A_r,\theta]$ and their
modified versions on $\ell_p$ spaces. We show that for any $1is a constant $\lambda_p$ such that considered Tsirelson-type norms do not
$\lambda_p$-distort any of subspaces of $\ell_p$.

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