Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces
Abstract
Description
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
The author withdraws the paper as the proof of the main result announced in this note in its current form has a gap which renders it incorrect
The author withdraws the paper as the proof of the main result announced in this note in its current form has a gap which renders it incorrect