Divers types de séparation pour plusieurs ensembles convexes

DOI10.1007/BF02386040zbMath0392.46009MaRDI QIDQ1251783

Jacques Bair

Publication date: 1977

Published in: Arkiv för Matematik (Search for Journal in Brave)

zbMATH Keywords

HalfspacesDimensional HypothesisProper Convex SubsetsSeparation in Sense of KleeStrictly Separated Sets

Mathematics Subject Classification ID

Theorems of Hahn-Banach type; extension and lifting of functionals and operators (46A22) General theory of locally convex spaces (46A03) Duality theory for topological vector spaces (46A20) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in (n) dimensions (including convex hypersurfaces) (52A20) Vector spaces, linear dependence, rank, lineability (15A03) Convex sets without dimension restrictions (aspects of convex geometry) (52A05)

Related Items (1)

Sur la séparation vraie de cônes convexes

Cites Work

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• Étude geométrique des espaces vectoriels. Une introduction
• Critères de séparation pour polyedres convexes
• On the extension of operators with a finite-dimensional range
• A propos d'un probleme de Klee sur la seperation de plusieurs ensembles.
• On Certain Intersection Properties of Convex Sets

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