Krein–Milman theorem

GPTKB entity

Statements (17)
Predicate Object
gptkbp:instanceOf gptkb:mathematical_concept
gptkbp:appliesTo locally convex topological vector spaces
compact convex sets
gptkbp:field functional analysis
https://www.w3.org/2000/01/rdf-schema#label Krein–Milman theorem
gptkbp:namedAfter gptkb:Mark_Krein
David Milman
gptkbp:publishedIn gptkb:Annals_of_Mathematics
gptkbp:relatedConcept gptkb:Choquet_theory
convex hull
extreme point
Bauer's maximum principle
gptkbp:sentence A compact convex subset of a locally convex topological vector space is the closed convex hull of its extreme points.
gptkbp:yearProposed 1940
gptkbp:bfsParent gptkb:Convex_Analysis
gptkb:Mark_Krein
gptkbp:bfsLayer 6