On Fréchet differentiability of Lipschitzian functions on spaces with gaussian measures
✍ Scribed by V. I. Bogachev; E. Priola; N. A. Tolmachev
- Book ID
- 111454356
- Publisher
- SP MAIK Nauka/Interperiodica
- Year
- 2007
- Tongue
- English
- Weight
- 213 KB
- Volume
- 75
- Category
- Article
- ISSN
- 1064-5624
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📜 SIMILAR VOLUMES
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
We show that holomorphic mappings of bounded type defined on Frechet spaces extend to the bidual. The relationship between holomorphic mappings of bounded type and of uniformly bounded type is discussed and some algebraic and topological properties of the space of all entire mappings of (uniformly)