Unperforated pairs of operator spaces and hyperrigidity of operator systems

zbMath1431.46035arXiv1706.08411MaRDI QIDQ5377101

Raphaël Clouâtre

Publication date: 23 May 2019

Full work available at URL: https://arxiv.org/abs/1706.08411

zbMATH Keywords

stateoperator systempeak pointhyperrigidity conjecture

Mathematics Subject Classification ID

Representations of topological algebras with involution (46K10) Operator spaces and completely bounded maps (46L07) Classifications of (C^*)-algebras (46L35) States of selfadjoint operator algebras (46L30)

Related Items (4)

Boundary representations and rectangular hyperrigidity ⋮ An approximate unique extension property for completely positive maps ⋮ Hyperrigid generators in \(C^*\)-algebras ⋮ Gelfand transforms and boundary representations of complete Nevanlinna–Pick quotients

Cites Work

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• The representations of linear functionals by measures on sets of extreme points
• Korovkin-type properties for completely positive maps
• The Choquet boundary of an operator system
• Function theory in the unit ball of \({\mathbb{C}}^ n\)
• Injective envelopes of operator systems
• Injectivity and operator spaces
• Quasi hyperrigidity and weak peak points for non-commutative operator systems
• Multiplier algebras of complete Nevanlinna-Pick spaces: dilations, boundary representations and hyperrigidity
• The noncommutative Choquet boundary. II: Hyperrigidity
• Choquet order and hyperrigidity for function systems
• Residually finite-dimensional operator algebras
• Essential normality, essential norms and hyperrigidity
• Interlacing families. II: Mixed characteristic polynomials and the Kadison-Singer problem
• Subalgebras of \(C^ *\)-algebras
• Subalgebras of C\(^*\)-algebras. II
• On nuclear C\(^*\)-algebras
• Harmonic analysis of operators on Hilbert space
• The noncommutative Choquet boundary
• Extensions of Pure States and Projections of Norm One II
• Extensions of Pure States
• The Krein-Milman theorem in operator convexity
• Extremal Matrix States on Operator Systems
• Boundary representations of operator spaces, and compact rectangular matrix convex sets
• Korovkin-type Theorems and Approximation by Positive Linear Operators
• Lectures on Choquet's theorem
• The Shilov boundary of an operator space and the characterization theorems

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