This is an announcement for the paper "Approximation by Lipschitz, analytic maps on certain Banach spaces" by R. Fry and L. Keener.

Abstract: 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.

Archive classification: math.FA

Mathematics Subject Classification: 46B20

Remarks: 19 pages

The source file(s), FryKeenerv2.tex: 58919 bytes, is(are) stored in gzipped form as 0810.5600.gz with size 15kb. The corresponding postcript file has gzipped size 111kb.

Submitted from: rfry@tru.ca

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http://arXiv.org/abs/0810.5600

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