Title: Representation of Bounded Convex Sets By Rational Convex Hull Of Its Gamma-Extreme Points
Abstract: Abstract H. Minkowski proved C= convext C whenever C is a compact convex subset of a finite-dimensional linear space. If C is bounded but not closed, this representation does not hold anymore. In this case, we introduce the set of so-called γ-extreme points extγC of C and show C = convext γ C = raco extγ C, where raco M denotes the rational convex hull of M. Keywords: Bounded convex setsextreme pointsγ-extreme pointsconvex hullrational convex hull52A01AMS(MOS) subject classifications
Publication Year: 1994
Publication Date: 1994-01-01
Language: en
Type: article
Indexed In: ['crossref']
Access and Citation
Cited By Count: 7
AI Researcher Chatbot
Get quick answers to your questions about the article from our AI researcher chatbot