Approximation by functions with bounded derivative on Banach spaces-Reference-Cited by-同舟云学术

Approximation by functions with bounded derivative on Banach spaces

Published:2004-02 Issue:1 Volume:69 Page:125-131
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Fry R.

Abstract

Let X be a separable Banach space which admits a C1-smooth norm, and let G ⊂ X be an open subset. Then any real-valued, bounded and uniformly continuous map on G can be uniformly approximated on G by C1-smooth functions with bounded derivative.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference10 articles.

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2. Smoothness in weakly compactly generated Banach spaces

3. Approximation of lipschitz functions by Δ-convex functions in banach spaces

4. On approximation in real Banach spaces

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