Subsequential minimality in Gowers and Maurey spaces

preprint2011arXivOpen access

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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Subsequential minimality in Gowers and Maurey spaces

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