English

Subsequential minimality in Gowers and Maurey spaces

Functional Analysis 2014-02-26 v1

Abstract

We define block sequences (xn)(x_n) in every block subspace of a variant of the space of Gowers and Maurey so that the map x2n1x2nx_{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}.

Cite

@article{arxiv.1112.2411,
  title  = {Subsequential minimality in Gowers and Maurey spaces},
  author = {Valentin Ferenczi and Thomas Schlumprecht},
  journal= {arXiv preprint arXiv:1112.2411},
  year   = {2014}
}
R2 v1 2026-06-21T19:49:28.676Z