Conditionally Evenly Convex Sets and Evenly Quasi-Convex Maps
Probability
2012-09-06 v1 Functional Analysis
Abstract
Evenly convex sets in a topological vector space are defined as the intersection of a family of open half spaces. We introduce a generalization of this concept in the conditional framework and provide a generalized version of the bipolar theorem. This notion is then applied to obtain the dual representation of conditionally evenly quasi-convex maps.
Keywords
Cite
@article{arxiv.1209.0956,
title = {Conditionally Evenly Convex Sets and Evenly Quasi-Convex Maps},
author = {Marco Frittelli and Marco Maggis},
journal= {arXiv preprint arXiv:1209.0956},
year = {2012}
}