Operator analogue of the Krein-Milman theorem in the generalized state spaces.

DOI10.1007/BF02872284zbMath1033.46505MaRDI QIDQ1609584

Wei Wu

Publication date: 15 August 2002

Published in: Science in China. Series A (Search for Journal in Brave)

zbMATH Keywords

\(C^*\)-extreme points

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Radon-Nikodým, Kre?n-Milman and related properties (46B22) Convex sets in topological linear spaces; Choquet theory (46A55) States of selfadjoint operator algebras (46L30)

Cites Work

• Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
• Subspaces of \(C^ *\)-algebras
• The geometric structure of generalized state spaces
• Krein-Milman-type problems for compact matricially convex sets
• Injectivity and operator spaces
• Subalgebras of \(C^ *\)-algebras
• Multi-States on C ∗ -Algebras
• The Structure of C^*-Convex Sets
• 𝐶*-extreme points in the generalised state spaces of a 𝐶*-algebra
• The structure of $C^*$-extreme points in spaces of completely positive linear maps on $C^*$-algebras
• Positive Functions on C ∗ -Algebras
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