On Banach Spaces containing $l_p$ or $c_0$

arxiv: 0810.0325 · v1 · submitted 2008-10-02 · 🧮 math.FA

On Banach Spaces containing l_p or c₀

George Androulakis , Nigel Kalton , Adi Tcaciuc This is my paper

classification 🧮 math.FA

keywords banachcontainingspacesblockcharacterizegowersinftyisomorphs

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We use the Gowers block Ramsey theorem to characterize Banach spaces containing isomorphs of $\ell_p$ (for some $1 \leq p < \infty$) or $c_0$.

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