Some strongly bounded classes of Banach spaces
Functional Analysis
2007-05-23 v1
Abstract
We show that the classes of separable reflexive Banach spaces and of spaces with separable dual are strongly bounded. This gives a new proof of a recent result of E. Odell and Th. Schlumprecht, asserting that there exists a separable reflexive Banach space containing isomorphic copies of every separable uniformly convex Banach spaces.
Cite
@article{arxiv.math/0605475,
title = {Some strongly bounded classes of Banach spaces},
author = {Pandelis Dodos and Valentin Ferenczi},
journal= {arXiv preprint arXiv:math/0605475},
year = {2007}
}
Comments
10 pages