On the structure of separable $\mathcal{L}_\infty$-spaces
Functional Analysis
2016-03-16 v1
Abstract
Based on a construction method introduced by J. Bourgain and F. Delbaen, we give a general definition of a Bourgain-Delbaen space and prove that every infinite dimensional separable -space is isomorphic to such a space. Furthermore, we provide an example of a and asymptotic space not containing .
Keywords
Cite
@article{arxiv.1504.08223,
title = {On the structure of separable $\mathcal{L}_\infty$-spaces},
author = {Spiros A. Argyros and Ioannis Gasparis and Pavlos Motakis},
journal= {arXiv preprint arXiv:1504.08223},
year = {2016}
}
Comments
15 pages