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arxiv: 1603.08706 · v1 · pith:7PANHDVFnew · submitted 2016-03-29 · 🧮 math.FA

A Bourgain-like property of Banach spaces with no copies of c₀

classification 🧮 math.FA
keywords banachcopiesspacestheoremapplicationbessaga-pebourgain-likecauchy
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We give a characterization of the existence of copies of $c_{0}$ in Banach spaces in terms of indexes. As an application, we deduce new proofs of James Distortion theorem and Bessaga-Pe{\l}czynski theorem about weakly unconditionally Cauchy series.

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