Locally uniformly convex norms in Banach spaces and their duals

Details Locally uniformly convex norms in Banach spaces and their duals Locally uniformly convex norms in Banach spaces and their duals

2006-10-12

arxiv.org/abs/math/0610420v2

Mathematics

Functional Analysis

The abstract has now been corrected

Scientific paper

It is shown that a Banach space with locally uniformly convex dual admits an
equivalent norm which is itself locally uniformly convex. It follows that on
any such space all continuous real-valued functions may be uniformly
approximated by C^1 functions.

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