This is an announcement for the paper "A norm for Tsirelson's Banach space" by Diana Ojeda-Aristizabal.

Abstract: We give an expression for the norm of the space constructed by Tsirelson. The implicit equation satisfied by this norm is dual to the implicit equation for the norm of the dual of Tsirelson space given by Figiel and Johnson. The expression can be modified to give the norm of the dual of any mixed Tsirelson space. In particular, our results can be adapted to give the norm for the dual of Schlumprecht space.

Archive classification: math.FA

Mathematics Subject Classification: 46B20

Submitted from: dco34@cornell.edu

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1207.4504

or

http://arXiv.org/abs/1207.4504