Pure matrix states on operator systems

DOI10.1016/j.laa.2003.12.006zbMath1073.46044OpenAlexW2026752664MaRDI QIDQ703627

Douglas R. Farenick

Publication date: 11 January 2005

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2003.12.006

zbMATH Keywords

operator systemcompletely positive linear mappure completely positive linear map

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25)

Related Items

Maps with the unique extension property and \({C}^\ast\)-extreme points, Uniqueness, universality, and homogeneity of the noncommutative Gurarij space, \(C^*\)-convex sets and completely positive maps, Facial structure of matrix convex sets, Extreme points of matrix convex sets, free spectrahedra, and dilation theory, Matrix convex sets without absolute extreme points, Complete geometric unitaries in operator spaces, Empirical Properties of Optima in Free Semidefinite Programs, Extreme states and boundary representations of operator spaces in ternary rings of operators, The Choquet boundary of an operator system, The \(C^*\)-envelope of an irreducible periodic weighted unilateral shift, The Ramsey property for operator spaces and noncommutative Choquet simplices, An intrinsic order-theoretic characterization of the weak expectation property, Matrix convex hulls of free semialgebraic sets, Extreme states on operator spaces in ternary rings of operators, Arveson extreme points span free spectrahedra, Unnamed Item, The Arveson boundary of a free quadrilateral is given by a noncommutative variety

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