Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

Matías Raja

Dep. de Matemáticas, Universidad de Murcia, Campus de Espinardo, 30100 Espinardo - Murcia, Spain

matias@um.es

Keywords

  • Point of continuity property
  • finitely dentable map
  • difference of convex Lipschitz functions

Mathematics Subject Classification

26B25

Suggested citation

M. Raja. “Finitely Dentable Functions, Operators and Sets.” Journal of Convex Analysis 15 (2008), No. 2, 219–233. https://doi.org/10.68381/jca15016

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Published by Heldermann Verlag, 2008. Rights now held by Banach Press.