Commutativity of operators and characterization of traces on \(C^\ast\)-algebras

DOI10.1134/S1064562413010298zbMath1277.46027OpenAlexW2169396170MaRDI QIDQ352233

Airat M. Bikchentaev

Publication date: 4 July 2013

Published in: Doklady Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1064562413010298

zbMATH Keywords

von Neumann algebratracesnormal weightpositive functional

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) States of selfadjoint operator algebras (46L30)

Related Items

Trace and integrable operators affiliated with a semifinite von Neumann algebra ⋮ On operator monotone and operator convex functions ⋮ Inequality for a trace on a unital \(C^\ast\)-algebra ⋮ Metrics on projections of the von Neumann algebra associated with tracial functionals ⋮ Commutators in \(C^\ast\)-algebras and traces ⋮ Commutation of projections and characterization of traces on von Neumann algebras. III ⋮ Unnamed Item ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Characterization of tracial functionals on von Neumann algebras ⋮ Commutator inequalities associated with polar decompositions of \(\tau\)-measurable operators ⋮ Projections and traces on von Neumann algebras ⋮ Characterization of central elements of operator algebras by inequalities ⋮ Trace inequalities for Rickart \(C^{\ast}\)-algebras ⋮ Characterization of certain traces on von Neumann algebras

Cites Work

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• Commutativity of projections and characterization of traces on von Neumann algebras
• Commutation of projections and trace characterization on von Neumann algebras. II.
• On a property of \(L_p\) spaces on semifinite von Neumann algebras
• Sequential quantum measurements
• On Matrices Over the Ring of Continuous Complex Valued Functions on a Stonian Space