The structure of $C^*$-extreme points in spaces of completely positive linear maps on $C^*$-algebras

DOI10.1090/S0002-9939-98-04282-8zbMath0891.46033OpenAlexW1597824865MaRDI QIDQ4383149

Douglas R. Farenick, Hongding Zhou

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04282-8

zbMATH Keywords

completely positive mapnoncommutative convexity\(C^{*}\)-convexity\(C^{*}\)-extreme pointgeneralised state spaces

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)

Related Items

Maps with the unique extension property and \({C}^\ast\)-extreme points, C∗-extreme points of entanglement breaking maps, \(C^\ast\)-extreme entanglement breaking maps on operator systems, Pure matrix states on operator systems, On the convex structure of process positive operator valued measures, \(C^*\)-extreme points of positive operator valued measures and unital completely positive maps, Epigraph of operator functions, \(C^\ast\)-extreme maps and nests, Classical and nonclassical randomness in quantum measurements, Operator analogue of the Krein-Milman theorem in the generalized state spaces.

Cites Work

• Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
• The geometric structure of generalized state spaces
• Subalgebras of \(C^ *\)-algebras
• Necessary and sufficient conditions for unitary similarity
• C ∗ -Extreme Points
• C*-Convexity and Matricial Ranges
• C ∗ -Extreme Points of some Compact C ∗ -Convex Sets
• Extreme n-positive linear maps
• The Structure of C^*-Convex Sets
• Positive Functions on C ∗ -Algebras
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