Approximation by Lipschitz, analytic maps on certain Banach spaces
Functional Analysis
2009-01-09 v2
Abstract
We show that on separable Banach spaces admitting a separating polynomial, any uniformly continuous, bounded, real-valued function can be uniformly approximated by Lipschitz, analytic maps on bounded sets.
Cite
@article{arxiv.0810.5600,
title = {Approximation by Lipschitz, analytic maps on certain Banach spaces},
author = {R. Fry and L. Keener},
journal= {arXiv preprint arXiv:0810.5600},
year = {2009}
}
Comments
19 pages, minor correction