On certain equivalent norms on Tsirelson's space

Authors
Odell, EW Tomczak-Jaegermann, N
Citation
Ew. Odell et N. Tomczak-jaegermann, On certain equivalent norms on Tsirelson's space, ILL J MATH, 44(1), 2000, pp. 51-71
Citations number
9
Categorie Soggetti
Mathematics
Journal title
ILLINOIS JOURNAL OF MATHEMATICS
ISSN journal
00192082 → ACNP
Volume
44
Issue
1
Year of publication
2000
Pages
51 - 71
Database
ISI
SICI code
0019-2082(200021)44:1<51:OCENOT>2.0.ZU;2-T
Abstract
Tsirelson's space T is known to be distortable but it is open as to whether or not T is arbitrarily distortable. For n is an element of N the norm par allel to . parallel to(n) of the Tsirelson space T(S-n, 2(-n)) is equivalen t to the standard norm on T. We prove there exists K < infinity so that for all n, parallel to . parallel to, does not K distort any subspace Y of T.