We present some results concerning uniform approximation of uniformly continuous and bounded functions defined on infinite dimensional spaces, by means of smoother functions. To this purpose we use heat semigroup in abstract Wiener spaces. The subject has an interest in view of the treatment of PDE's with infinitely many variables.
Uniform approximation of uniformly continuous and bounded functions on Banach spaces
PRIOLA, Enrico
2000-01-01
Abstract
We present some results concerning uniform approximation of uniformly continuous and bounded functions defined on infinite dimensional spaces, by means of smoother functions. To this purpose we use heat semigroup in abstract Wiener spaces. The subject has an interest in view of the treatment of PDE's with infinitely many variables.
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