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arXiv:0810.5600 [math.FA]AbstractReferencesReviewsResources

Approximation by Lipschitz, analytic maps on certain Banach spaces

R. Fry, L. Keener

Published 2008-10-31, updated 2009-01-09Version 2

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.

Comments: 19 pages, minor correction
Categories: math.FA
Subjects: 46B20
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