Dilated sets and characterizations of simplexes

DOI10.1007/BF01392544zbMath0433.46007MaRDI QIDQ1139250

A. J. Ellis, Ashoke K. Roy

Publication date: 1980

Published in: Inventiones Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/142689

zbMATH Keywords

extreme pointsextensionsimplexcompact convex setaffine functiondilated setparallel facesplit face

Mathematics Subject Classification ID

Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets in topological vector spaces (aspects of convex geometry) (52A07) Ordered topological linear spaces, vector lattices (46A40)

Related Items (5)

Distances between convex subsets of state spaces ⋮ Facial Characterizations of Complex Lindenstrauss Spaces ⋮ Weights of boundaries of compact convex sets ⋮ Bounded extensions and characterizations of C(X) ⋮ Operators on separable \(L^1\)-predual spaces

Cites Work

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• The representations of linear functionals by measures on sets of extreme points
• Structure in simplexes. II
• Compact convex sets with the equal support property
• On a class of real Banach spaces
• A Characterization of Simplexes by Parallel Faces
• Non-commutative spectral theory for affine function spaces on convex sets
• A Facial Characterization of Choquet Simplexes
• On the Decomposition of a Choquet Simplex into a Direct Convex Sum of Complementary Faces.
• Infinite Dimensional Compact Convex Polytopes.
• Caractérisation des simplexes par des propriétés portant sur les faces fermées et sur les ensembles compacts de points extremaux.

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