𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Measure of Non-Radon–Nikodym Property and Differentiability of Convex Functions on Banach Spaces

✍ Scribed by Zheng, Xi Yin


Publisher
Springer
Year
2005
Tongue
English
Weight
245 KB
Volume
13
Category
Article
ISSN
0927-6947

No coin nor oath required. For personal study only.


📜 SIMILAR VOLUMES


Generic Fréchet Differentiability of Con
✍ 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

The complexity of subdifferentiation and
✍ Pierre Casevitz 📂 Article 📅 2002 🏛 Elsevier Science 🌐 English ⚖ 200 KB

Let E be a separable Banach space with separable dual. We show that the operation of subdi erentiation and the inverse operation are Borel from the convex functions on E into the monotone operators on E (subspace of the closed sets of E × E \* ) for the E ros-Borel structures. We also prove that th