The geometric structure of generalized state spaces

DOI10.1016/0022-1236(81)90066-5zbMath0486.46045OpenAlexW1981263876MaRDI QIDQ1164833

Roger R. Smith, Joseph D. Ward

Publication date: 1981

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(81)90066-5

zbMATH Keywords

completely positive mapsfacial structure of compact convex setsgeneralized state spacematricially convex faces

Mathematics Subject Classification ID

General theory of (C^*)-algebras (46L05) Convex sets in topological linear spaces; Choquet theory (46A55) States of selfadjoint operator algebras (46L30)

Related Items

Matrical extensions of the numerical range: a brief survey, 𝐶*-extreme points in the generalised state spaces of a 𝐶*-algebra, Non-commutative metric topology on matrix state space, The structure of $C^*$-extreme points in spaces of completely positive linear maps on $C^*$-algebras, Operator analogue of the Krein-Milman theorem in the generalized state spaces.

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