On diffeomorphisms deleting weakly compacta in Banach spaces
Functional Analysis
2007-05-23 v1
Abstract
We prove that if X is an infinite-dimensional Banach space with C^p smooth partitions of unity, then X and X\K are C^p diffeomorphic, for every weakly compact subset K of X.
Cite
@article{arxiv.math/0208160,
title = {On diffeomorphisms deleting weakly compacta in Banach spaces},
author = {Daniel Azagra and Alejandro Montesinos},
journal= {arXiv preprint arXiv:math/0208160},
year = {2007}
}
Comments
18 pages