Extreme states on operator spaces in ternary rings of operators

DOI10.1007/s12044-021-00639-2zbMath1490.46050OpenAlexW3214077039MaRDI QIDQ2062918

A. K. Vijayarajan, M. S. Syamkrishnan, A. M. Shabna, C. S. Arunkumar

Publication date: 3 January 2022

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-021-00639-2

zbMATH Keywords

operator spacesternary rings of operatorsboundary representationsrectangular operator states

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Noncommutative function spaces (46L52) Convex sets and cones of operators (47L07)

Related Items (1)

Extreme states and boundary representations of operator spaces in ternary rings of operators

Cites Work

• Matrix convexity: Operator analogues of the bipolar and Hahn-Banach theorems
• Pure matrix states on operator systems
• The Choquet boundary of an operator system
• Subspaces of \(C^ *\)-algebras
• Some remarks on C*-convexity
• The noncommutative Choquet boundary. II: Hyperrigidity
• Subalgebras of \(C^ *\)-algebras
• Subalgebras of C\(^*\)-algebras. II
• Irreducible Representations of Hilbert <i>C*</i>-Modules
• Injectivity of Operator Spaces
• C ∗ -Extreme Points
• C ∗ -Extreme Points of some Compact C ∗ -Convex Sets
• The Krein-Milman theorem in operator convexity
• 𝐶*-extreme points in the generalised state spaces of a 𝐶*-algebra
• Extremal Matrix States on Operator Systems
• On C$^*$-extreme points
• Boundary representations of operator spaces, and compact rectangular matrix convex sets
• Boundary representations and pure completely positive maps
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