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arXiv · 0810.3901

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

R. Fry
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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

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R. Fry. 2009-01-20. Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces. https://arxiv.org/abs/0810.3901

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