Dual representations for positively homogeneous functions : an application to constrained extremum problems

@inproceedings{Castellani2010DualRF,
  title={Dual representations for positively homogeneous functions : an application to constrained extremum problems},
  author={Marco Castellani and A. Uderzo},
  year={2010}
}
The aim of the present paper is to provide a unitary exposition on possible representations for positively homogeneous functions in the dual space. Starting from the classical Minkowski–Hörmander duality result of convex analysis, we develop a scheme in order to associate to a positively homogeneous function families of sublinear functionals representing it. Such dual description allows us to characterize several classes of positively homogeneous functions (for instance MSL or semicontinuous… CONTINUE READING