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arXiv · 1603.08706

A Bourgain-like property of Banach spaces with no copies of $c_0$

A. Pérez·M. Raja
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Abstract

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-Pełczynski theorem about weakly unconditionally Cauchy series.

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A. Pérez, M. Raja. 2016-03-29. A Bourgain-like property of Banach spaces with no copies of $c_0$. https://doi.org/10.1007/s13398-016-0286-2

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