Singular linear functionals on non-locally convex Orlicz spaces
โ Scribed by Marian Nowak
- Publisher
- Elsevier Science
- Year
- 1992
- Tongue
- English
- Weight
- 764 KB
- Volume
- 3
- Category
- Article
- ISSN
- 0019-3577
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๐ SIMILAR VOLUMES
In this paper we consider the class of s-Orlicz convex functions defined on a s-Orlicz convex subset of a real linear space. Some inequalities of Jensen's type for this class of mappings are pointed out.
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 ัจ f of f has the RadonแNikodym property, and in this case it is equivalent to show
In the paper, we shall prove that almost everywhere convergent bounded sequence in a Banach function space X is weakly convergent if and only if X and its dual space X\* have the order continuous norms. It follows that almost everywhere convergent bounded sequence in ยธN #ยธN (1(p , p (R) is weakly co