A convex extension of lower semicontinuous functions defined on normal Hausdorff space
Functional Analysis
2017-05-24 v1
Abstract
We prove that, any problem of minimization of proper lower semicontinuous function defined on a normal Hausdorff space, is canonically equivalent to a problem of minimization of a proper weak * lower semicontinuous convex function defined on a weak * convex compact subset of some dual Banach space. We estalish the existence of an bijective operator between the two classes of functions which preserves the problems of minimization.
Keywords
Cite
@article{arxiv.1705.08137,
title = {A convex extension of lower semicontinuous functions defined on normal Hausdorff space},
author = {Mohammed Bachir},
journal= {arXiv preprint arXiv:1705.08137},
year = {2017}
}