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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

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