On extensions of d.c. functions and convex functions
Functional Analysis
2008-10-09 v1
Abstract
We show how our recent results on compositions of d.c. functions (and mappings) imply positive results on extensions of d.c. functions (and mappings). Examples answering two natural relevant questions are presented. Two further theorems, concerning extendability of continuous convex functions from a closed subspace of a normed linear space, complement recent results of J.Borwein, V.Montesinos and J.Vanderwerff.
Cite
@article{arxiv.0810.1433,
title = {On extensions of d.c. functions and convex functions},
author = {Libor Vesely and Ludek Zajicek},
journal= {arXiv preprint arXiv:0810.1433},
year = {2008}
}
Comments
16 pages