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Generic Fréchet-differentiability of convex functions on small sets

✍ Scribed by Dominikus Noll

Book ID
112494888
Publisher
Springer
Year
1990
Tongue
English
Weight
303 KB
Volume
54
Category
Article
ISSN
0003-889X

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Generic Fréchet Differentiability of Con
Generic Fréchet Differentiability of Convex Functions on Non-Asplund Spaces
✍ Cheng Lixin; Shi Shuzhong; E.S. Lee 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 204 KB

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