Commutation of projections and characterization of traces on von Neumann algebras. III

DOI10.1007/s10773-015-2639-6zbMath1347.46038OpenAlexW1989600155MaRDI QIDQ904498

Airat M. Bikchentaev

Publication date: 13 January 2016

Published in: International Journal of Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10773-015-2639-6

zbMATH Keywords

von Neumann algebraHilbert spacetraceprojectionoperator inequalityweight\(C^\ast\)-algebraspectral theoremlinear bounded operatornormal functionalcommutativity of operators

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) States of selfadjoint operator algebras (46L30)

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Cites Work

• Commutativity of operators and characterization of traces on \(C^\ast\)-algebras
• Commutativity of projections and characterization of traces on von Neumann algebras
• Commutation of projections and trace characterization on von Neumann algebras. II.
• Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals
• Automorphism groups of Jordan C*-algebras
• Extreme points of convex fully symmetric sets of measurable operators
• \(C^*\)-algebras and \(W^*\)-algebras.
• On a property of \(L_p\) spaces on semifinite von Neumann algebras
• Generalized s-numbers of \(\tau\)-measurable operators
• Sequential quantum measurements
• An Inequality Characterizes the Trace
• On Matrices Over the Ring of Continuous Complex Valued Functions on a Stonian Space
• Classification of nuclear \(C^*\)-algebras. Entropy in operator algebras
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