# Minimal pairs of compact convex sets

Diethard Pallaschke; Ryszard Urbański

Banach Center Publications (2004)

- Volume: 64, Issue: 1, page 147-158
- ISSN: 0137-6934

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topDiethard 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 -

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