Existence of maximizable quasiconcave functions on paracompact convex spaces
β Scribed by J.C Bellenger
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 266 KB
- Volume
- 123
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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 Ρ¨ f of f has the RadonαNikodym property, and in this case it is equivalent to show