Subsequential minimality in Gowers and Maurey spaces

Details Subsequential minimality in Gowers and Maurey spaces Subsequential minimality in Gowers and Maurey spaces

2011-12-11

arxiv.org/abs/1112.2411v1

Mathematics

Functional Analysis

Scientific paper

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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