Commutativity of projections and characterization of traces on von Neumann algebras

DOI10.1007/s11202-010-0096-2zbMath1222.46046OpenAlexW2004139097MaRDI QIDQ542176

Airat M. Bikchentaev

Publication date: 8 June 2011

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11202-010-0096-2

zbMATH Keywords

von Neumann algebraHilbert spacetraceprojectionoperator inequalityweightbounded linear operatorspectral theoremnormal functionalcommutativity of operators

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)

Related Items (23)

Differences of idempotents in \(C^\ast\)-algebras ⋮ Trace and integrable operators affiliated with a semifinite von Neumann algebra ⋮ Inequality for a trace on a unital \(C^\ast\)-algebra ⋮ Commutativity of operators and characterization of traces on \(C^\ast\)-algebras ⋮ Metrics on projections of the von Neumann algebra associated with tracial functionals ⋮ On generalized Powers-Størmer's inequality ⋮ On invertibility of some operator sums ⋮ Inequalities for determinants and characterization of the trace ⋮ Commutators in \(C^\ast\)-algebras and traces ⋮ Commutation of projections and characterization of traces on von Neumann algebras. III ⋮ Unnamed Item ⋮ Differences and commutators of idempotents in \(C^*\)-algebras ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Characterization of tracial functionals on von Neumann algebras ⋮ On independence of events in noncommutative probability theory ⋮ On \(\tau\)-compactness of products of \(\tau\)-measurable operators ⋮ Commutator inequalities associated with polar decompositions of \(\tau\)-measurable operators ⋮ Differences of idempotents in \(C^\ast\)-algebras and the quantum Hall effect ⋮ Projections and traces on von Neumann algebras ⋮ Characterization of central elements of operator algebras by inequalities ⋮ Trace inequalities for Rickart \(C^{\ast}\)-algebras ⋮ Trace and differences of idempotents in \(C^\ast\)-algebras ⋮ Characterization of certain traces on von Neumann algebras

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