Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4591829 | Journal of Functional Analysis | 2007 | 8 Pages |
Abstract
It is shown that on weakly compactly generated Banach spaces which admit a Lipschitz, Cp smooth bump function, one can uniformly approximate uniformly continuous, bounded, real-valued functions by Lipschitz, Cp smooth functions. This provides a ‘Lipschitz version’ of the classical approximation results of Godefroy, Troyanski, Whitfield and Zizler.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory