Locally uniformly convex norms in Banach spaces and their duals

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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.
The abstract has now been corrected

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Functional Analysis, General Topology, 46B20

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http://salesiana.dossiersoluciones.com/handle/123456789/117951

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610420
 http://arxiv.org/abs/math/0610420

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arXiv