29 Mar
2016
29 Mar
'16
11:10 p.m.
This is an announcement for the paper “A Bourgain-like property of Banach spaces with no copies of $c_0$” by A. Perez and M Raja.
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-Pelczynski theorem about weakly unconditionally Cauchy series.
The paper may be downloaded from the archive by web browser from URL http://arxiv.org/abs/1603.08706