Characterizations of the trace

DOI10.1016/0024-3795(88)90050-XzbMath0661.15017MaRDI QIDQ1112920

Jaroslav Zemánek, Dénes Petz

Publication date: 1988

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

zbMATH Keywords

projectionstraceoperator algebraslinear functional

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Algebraic systems of matrices (15A30)

Related Items

Kalmbach outer measures and valuations ⋮ Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals ⋮ Bell-type inequalities in orthomodular lattices. I: Inequalities of order 2 ⋮ Characterization of the trace by monotonicity inequalities ⋮ Metrics on projections of the von Neumann algebra associated with tracial functionals ⋮ Weighted monotonicity inequalities for traces on operator algebras ⋮ An inequality for projections and convex functions ⋮ On operators all of which powers have the same trace ⋮ Characterization of tracial functionals on von Neumann algebras ⋮ Trace characterizations and socle identifications in Banach algebras ⋮ Traces, dispersions of states and hidden variables ⋮ On positive commutators ⋮ Projections and traces on von Neumann algebras ⋮ Trace inequalities for Rickart \(C^{\ast}\)-algebras ⋮ On approximation problems with zero-trace matrices ⋮ Some Historical and Philosophical Aspects of Quantum Probability Theory and its Interpretation ⋮ Characterization of certain traces on von Neumann algebras

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