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 The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/0810.3901 or http://arXiv.org/abs/0810.3901 or by email in unzipped form by transmitting an empty message with subject line uget 0810.3901 or in gzipped form by using subject line get 0810.3901 to: math@arXiv.org.
participants (1)
-
alspach@fourier.math.okstate.edu