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On C2-smooth norms on c0

Published online by Cambridge University Press:  26 February 2010

Petr Hájek
Affiliation:
Department of Mathematics, University of Alberta, Edmonton T6G 2G1, Canada.
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Abstract

We show that if the derivative of a convex function on c0 is locally uniformly continuous, then every point xc0, has a neighbourhood O such that f′(O) is relatively compact in ℓ1.

Type
Research Article
Copyright
Copyright © University College London 1996

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References

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