Approximation by Lipschitz, analytic maps on certain Banach spaces

Details Approximation by Lipschitz, analytic maps on certain Banach spaces Approximation by Lipschitz, analytic maps on certain Banach spaces

2008-10-31

arxiv.org/abs/0810.5600v2

Mathematics

Functional Analysis

19 pages, minor correction

Scientific paper

We show that on separable Banach spaces admitting a separating polynomial,
any uniformly continuous, bounded, real-valued function can be uniformly
approximated by Lipschitz, analytic maps on bounded sets.

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