Commutativity of projectors and trace characterization on von Neumann algebras. I.

DOI10.3103/S1066369X0912010XzbMath1188.46038MaRDI QIDQ1048373

Airat M. Bikchentaev

Publication date: 12 January 2010

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

zbMATH Keywords

von Neumann algebraHilbert spacetraceoperator inequalityprojectorweightspectral theoremlinear bounded operatornormal functionalcommutativity of operators

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10)

Related Items (2)

Commutativity of projections and characterization of traces on von Neumann algebras ⋮ On relationships between two linear subspaces and two orthogonal projectors

Cites Work

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• Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals
• Characterization of the trace by monotonicity inequalities
• Majorization for products of measurable operators
• Classes of subspaces affiliated with a von Neumann algebra.
• Characterization of normal traces on von Neumann algebras by inequalities for the modulus
• A non-commutative extension of abstract integration
• On the representation of elements of a von Neumann algebra in the form of finite sums of products of projections. III. Commutators inC*-algebras

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