Geodesic
Finitely Dentable Functions, Operators and Sets
Journal of convex analysis, Tome 15 (2008) no. 2, pp. 219-233
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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.
Classification : 26B25
Mots-clés : Point of continuity property, finitely dentable map, difference of convex Lipschitz functions 
@article{JCA_2008_15_2_JCA_2008_15_2_a2,
     author = {M. Raja},
     title = {Finitely {Dentable} {Functions,} {Operators} and {Sets}},
     journal = {Journal of convex analysis},
     pages = {219--233},
     year = {2008},
     volume = {15},
     number = {2},
     url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a2/}
}
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M. Raja. Finitely Dentable Functions, Operators and Sets. Journal of convex analysis, Tome 15 (2008) no. 2, pp. 219-233. http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a2/