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arxiv: 1112.2411 · v1 · pith:UYIXNVESnew · submitted 2011-12-11 · 🧮 math.FA

Subsequential minimality in Gowers and Maurey spaces

classification 🧮 math.FA
keywords blockgowersmaureyspacecitedefineeveryexistence
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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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