This is an announcement for the paper "Stabilization of Tsirelson-type norms on $\ell_p$ spaces" by Anna Maria Pelczar.

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

Archive classification: Functional Analysis

Mathematics Subject Classification: 46B03

Remarks: 10 pages

The source file(s), stab-tsir.tex: 27412 bytes, is(are) stored in gzipped form as 0508352.gz with size 9kb. The corresponding postcript file has gzipped size 57kb.

Submitted from: anna.pelczar@im.uj.edu.pl

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