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.
© 2007 Elsevier Inc. All rights reserved.
