[Banach] Abstract of a paper by R. Fry

This is an announcement for the paper "Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces" by R. Fry.

Abstract: It is shown that 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. This provides a `Lipschitz version' of the classical approximation results of Godefroy, Troyanski, Whitfield and Zizler.

Archive classification: math.FA

Mathematics Subject Classification: 46B20

Citation: Journal of Functional Analysis, Volume 252, Issue 1, 1 November

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http://front.math.ucdavis.edu/0810.3901

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http://arXiv.org/abs/0810.3901

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