Restricted Weak Upper Semi-continuity of Subdifferentials of Convex Functions on Banach Spaces
β Scribed by Zheng, Xi Yin ;Ng, Kung Fu
- Publisher
- Springer
- Year
- 2008
- Tongue
- English
- Weight
- 297 KB
- Volume
- 16
- Category
- Article
- ISSN
- 0927-6947
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π SIMILAR VOLUMES
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 Γ E \* ) for the E ros-Borel structures. We also prove that th
This paper shows that every w\*-lower semicontinuous Lipschitzian convex function on the dual of a locally uniformly convexifiable Banach space, in particular, the dual of a separable Banach space, can be uniformly approximated by a generically FrΓ©chet differentiable w\*-lower semicontinuous monoton