Finitely Dentable Functions, Operators and Sets
Journal of convex analysis, Tome 15 (2008) no. 2, pp. 219-233
Voir la notice de l'article provenant de la source Heldermann Verlag
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
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},
publisher = {mathdoc},
volume = {15},
number = {2},
year = {2008},
url = {http://geodesic.mathdoc.fr/item/JCA_2008_15_2_JCA_2008_15_2_a2/}
}
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/