Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces

Details Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces

2008-10-21

arxiv.org/abs/0810.3901v4

Journal of Functional Analysis, Volume 252, Issue 1, 1 November 2007, Pages 34-41

Mathematics

Functional Analysis

The author withdraws the paper as the proof of the main result announced in this note in its current form has a gap which rend

Scientific paper

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

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