Abstract of a paper by Anna Maria Pelczar
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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0508352 or http://arXiv.org/abs/math.FA/0508352 or by email in unzipped form by transmitting an empty message with subject line uget 0508352 or in gzipped form by using subject line get 0508352 to: math@arXiv.org.
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Dale Alspach