Singular states on maximal \(Op^ *\)-algebras

DOI10.2977/prims/1195177627zbMath0618.47042OpenAlexW2259066566MaRDI QIDQ1822337

Werner Timmermann, Frank Löffler

Publication date: 1986

Published in: Publications of the Research Institute for Mathematical Sciences, Kyoto University (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2977/prims/1195177627

zbMATH Keywords

decompositionpure statescompact operatorsuniform topologysingular functionalsfree ultrafiltersmaximal \(Op^ *\)-algebrasingular states on topological *- algebras of unbounded operators defined on (F)-domainsstate space of operator algebras

Mathematics Subject Classification ID

Algebras of unbounded operators; partial algebras of operators (47L60) States of selfadjoint operator algebras (46L30)

Related Items (2)

Decomposition of Completely Positive Maps ⋮ On Inner Characterizations of Aõ-Algebras and some Applications to Calkin Algebras and Symmetric Tensor-Algebras

Cites Work

• On the conjugate space of operator algebra
• A Stone-Weierstrass theorem for \(C^*\)-algebras
• Extreme points in sets of positive linear maps on \(\mathcal B (\mathcal H)\)
• On topologization of unbounded operator algebras
• Classification of domains of operator algebras
• On trace representation of linear functionals on unbounded operator algebras
• Normal states on algebras of unbounded operators
• On the singularity of a positive linear functional on operator algebra
• Extensions, Restrictions, and Representations of States on C ∗ - Algebras
• Ideals in Algebras of Unbounded Operators
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Singular states on maximal \(Op^ *\)-algebras