Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces
Functional Analysis
2009-01-20 v4
Abstract
The following result was announced in the earlier version(s) of this paper: On weakly compactly generated Banach spaces which admit a Lipschitz, C^{p} smooth bump function, one can uniformly approximate uniformly continuous, bounded, real-valued functions by Lipschitz, C^{p} smooth functions. Unfortunately, there is a gap in the proof which renders the proof in its present form incorrect
Cite
@article{arxiv.0810.3901,
title = {Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces},
author = {R. Fry},
journal= {arXiv preprint arXiv:0810.3901},
year = {2009}
}
Comments
The author withdraws the paper as the proof of the main result announced in this note in its current form has a gap which renders it incorrect