Journal of Convex Analysis 15 (2008), No. 2, 219--233
Copyright Heldermann Verlag 2008
Finitely Dentable Functions, Operators and Sets
Matias Raja
Dep. de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo - Murcia, Spain
matias@um.es
We introduce the notion of finitely dentable map, which extends some properties of the uniform convexifying operators of Beauzamy to a non linear frame and provides a characterization of the functions that can be approximated by differences of convex Lipschitz functions.
Keywords: Point of continuity property, finitely dentable map, difference of convex Lipschitz functions.
MSC: 26B25
[ Fulltext-pdf (157 KB)] for subscribers only.