✦ LIBER ✦
Two Characterizations of Super-Reflexive Banach Spaces by the Behaviour of Differences of Convex Functions
✍ Scribed by Manuel Cepedello Boiso
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 145 KB
- Volume
- 191
- Category
- Article
- ISSN
- 0022-1236
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✦ Synopsis
A function defined on a Banach space X is called D-convex if it can be represented as a difference of two continuous convex functions. In this work we study the relationship between some geometrical properties of a Banach space X and the behaviour of the class of all D-convex functions defined on it. More precisely, we provide two new characterizations of super-reflexivity in terms D-convex functions.