Subsequential minimality in Gowers and Maurey spaces
  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}. 
Valentin Ferenczi and Thomas Schlumprecht
math.FA