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

DOI10.1142/s0219498824501007OpenAlexW4313332015MaRDI QIDQ6185913

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

Publication date: 30 January 2024

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498824501007

zbMATH Keywords

operator spacesternary rings of operatorsboundary pointsboundary representationsrectangular operator statesweak TRO-extreme states

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Operator spaces and completely bounded maps (46L07) Convex sets and cones of operators (47L07)

Cites Work

• Pure matrix states on operator systems
• Every completely polynomially bounded operator is similar to a contraction
• The Choquet boundary of an operator system
• Some remarks on C*-convexity
• Krein-Milman-type problems for compact matricially convex sets
• Completely positive maps on C*-algebras and the left matricial spectra of an operator
• The noncommutative Choquet boundary. II: Hyperrigidity
• Extreme states on operator spaces in ternary rings of operators
• Subalgebras of \(C^ *\)-algebras
• Subalgebras of C\(^*\)-algebras. II
• Boundary representations and rectangular hyperrigidity
• The noncommutative Choquet boundary
• 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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