Lipschitz functions on Banach spaces which are actually on Asplund spaces
β Scribed by Lixin Cheng; Shi Shuzhong
- Publisher
- Springer
- Year
- 1997
- Tongue
- English
- Weight
- 220 KB
- Volume
- 42
- Category
- Article
- ISSN
- 1001-6538
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Lipschitz Functions on Spaces of Homogeneous Type Results on the geometric structure of spaces of homogeneous type are obtained and applied to show the equivalence of certain classes of Lipschitz functions defined on these spaces. ## I. YOTATION AND DEFINITIONS By a quasi-distance on a set X
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