A Bourgain-Pisier construction for general Banach spaces
Functional Analysis
2012-10-23 v1
Abstract
We prove that every Banach space, not necessarily separable, can be isometrically embedded into a -space in a way that the corresponding quotient has the Radon-Nikodym and the Schur properties. As a consequence, we obtain spaces of arbitrary large densities with the Schur and the Radon-Nikodym properties. This extents the a classical result by J. Bourgain and G. Pisier.
Keywords
Cite
@article{arxiv.1210.5728,
title = {A Bourgain-Pisier construction for general Banach spaces},
author = {J. Lopez-Abad},
journal= {arXiv preprint arXiv:1210.5728},
year = {2012}
}