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Stabilization of Tsirelson-type norms on  spaces |
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| Authors: | Anna Maria Pelczar |
| Affiliation: | Institute of Mathematics, Jagiellonian University, Kraków, Poland |
| Abstract: | We consider classical Tsirelson-type norms of ![$ T[mathcal{A}_n,theta]$](http://www.ams.org/proc/2007-135-05/S0002-9939-06-08599-6/gif-abstract0/img1.gif){kind=small} and their modified versions on  spaces,  . We show that the modified Tsirelson-type norms do not distort any of the subspaces of the  spaces. We prove that Tsirelson-type norms, being equivalent to their modified versions, may at most 2-distort  spaces. |
| Keywords: | Tsirelson-type spaces distortion |
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