This is an announcement for the paper "Subsequential minimality in Gowers and Maurey spaces" by Valentin Ferenczi and Thomas Schlumprecht.

Abstract: We define block sequences $(x_n)$ in every block subspace of a variant of the space of Gowers and Maurey so that the map $x_{2n-1}\mapsto x_{2n} $ extends to an isomorphism. This implies the existence of a subsequentially minimal HI space, which solves a question in \cite{FR}.

Archive classification: math.FA

Mathematics Subject Classification: 46B03, 03E15

Submitted from: schlump@math.tamu.edu

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

http://front.math.ucdavis.edu/1112.2411

or

http://arXiv.org/abs/1112.2411