Subspaces of c_0 and Lipschitz isomorphisms
Functional Analysis
2007-05-23 v1
Abstract
We show that the class of subspaces of c_0 is stable under Lipschitz isomorphisms. The main corollary is that any Banach space which is Lipschitz isomorphic to c_0 is linearly isomorphic to c_0.
Cite
@article{arxiv.math/9911016,
title = {Subspaces of c_0 and Lipschitz isomorphisms},
author = {G. Godefroy and N. J. Kalton and G. Lancien},
journal= {arXiv preprint arXiv:math/9911016},
year = {2007}
}
Comments
22 pages