This is an announcement for the paper "Characterising subspaces of Banach spaces with a Schauder basis having the shift property" by Christian Rosendal.

Abstract: We give an intrinsic characterisation of the separable reflexive Banach spaces that embed into separable reflexive spaces with an unconditional basis all of whose normalised block sequences with the same growth rate are equivalent. This uses methods of E. Odell and T. Schlumprecht.

Archive classification: math.FA

Mathematics Subject Classification: 46B03

Submitted from: rosendal@math.uic.edu

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

http://front.math.ucdavis.edu/1106.0472

or

http://arXiv.org/abs/1106.0472