Minimal pairs of compact convex sets

Diethard Pallaschke, and Ryszard Urbański. "Minimal pairs of compact convex sets." Banach Center Publications 64.1 (2004): 147-158. <http://eudml.org/doc/281913>.

@article{DiethardPallaschke2004,
abstract = {Pairs of compact convex sets naturally arise in quasidifferential calculus as sub- and superdifferentials of a quasidifferentiable function (see Dem86). Since the sub- and superdifferentials are not uniquely determined, minimal representations are of special importance. In this paper we give a survey on some recent results on minimal pairs of closed bounded convex sets in a topological vector space (see PALURB). Particular attention is paid to the problem of characterizing minimal representatives of a pair of nonempty compact convex subsets of a locally convex topological vector space in the sense of the Rådström-Hörmander theory.},
author = {Diethard Pallaschke, Ryszard Urbański},
journal = {Banach Center Publications},
keywords = {minimal pairs of convex sets; separation by a convex set; order cancelation law; topological vector spaces},
language = {eng},
number = {1},
pages = {147-158},
title = {Minimal pairs of compact convex sets},
url = {http://eudml.org/doc/281913},
volume = {64},
year = {2004},
}

TY - JOUR
AU - Diethard Pallaschke
AU - Ryszard Urbański
TI - Minimal pairs of compact convex sets
JO - Banach Center Publications
PY - 2004
VL - 64
IS - 1
SP - 147
EP - 158
AB - Pairs of compact convex sets naturally arise in quasidifferential calculus as sub- and superdifferentials of a quasidifferentiable function (see Dem86). Since the sub- and superdifferentials are not uniquely determined, minimal representations are of special importance. In this paper we give a survey on some recent results on minimal pairs of closed bounded convex sets in a topological vector space (see PALURB). Particular attention is paid to the problem of characterizing minimal representatives of a pair of nonempty compact convex subsets of a locally convex topological vector space in the sense of the Rådström-Hörmander theory.
LA - eng
KW - minimal pairs of convex sets; separation by a convex set; order cancelation law; topological vector spaces
UR - http://eudml.org/doc/281913
ER -