Topologies and continuous functions on extreme points and pure states

DOI10.1017/S0305004100063702zbMath0593.46010OpenAlexW2012643124MaRDI QIDQ3723102

Charles J. K. Batty

Publication date: 1985

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0305004100063702

zbMATH Keywords

barycentercentral elementuniversally measurable setset of pure statesmaximal measuresChoquet topologyChoquet continuousmaximal orthogonal topologymaximally continuousset of all Radon probability measures

Mathematics Subject Classification ID

Spaces of measures (46E27) Convex sets in topological linear spaces; Choquet theory (46A55) States of selfadjoint operator algebras (46L30) Convex sets and cones of operators (47L07)

Related Items

On the boundary barycentric calculus

Cites Work

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• The representations of linear functionals by measures on sets of extreme points
• On decomposition theory for unitary representations of locally compact groups
• Pure states as a dual object for C*-algebras
• Type I \(C^ *\)-algebras
• The ideal center of partially ordered vector spaces
• Split Faces of Compact Convex Sets
• On the Concept of Centre in A (K )
• Topologies on the Extreme Points of Compact Convex Sets.