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arXiv · 1112.2411

Subsequential minimality in Gowers and Maurey spaces

Valentin Ferenczi·Thomas Schlumprecht
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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}.

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Valentin Ferenczi, Thomas Schlumprecht. 2011-12-11. Subsequential minimality in Gowers and Maurey spaces. https://doi.org/10.1112/plms%2Fpds035

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