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Lipschitz functions on Banach spaces which are actually on Asplund spaces

✍ Scribed by Lixin Cheng; Shi Shuzhong


Publisher
Springer
Year
1997
Tongue
English
Weight
220 KB
Volume
42
Category
Article
ISSN
1001-6538

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Let f be a continuous convex function on a Banach space E. This paper shows that every proper convex function g on E with g F f is generically Frechet differentiable if and only if the image of the subdifferential map Ѩ f of f has the Radon᎐Nikodym property, and in this case it is equivalent to show