Characterization of the trace by monotonicity inequalities

DOI10.1016/j.laa.2006.10.005zbMath1118.15021OpenAlexW1968500578MaRDI QIDQ869935

Oleg E. Tikhonov, Airat M. Bikchentaev

Publication date: 9 March 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2006.10.005

zbMATH Keywords

tracepositive semi-definite matricespositive linear functional

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Inequalities involving eigenvalues and eigenvectors (15A42) Miscellaneous inequalities involving matrices (15A45)

Related Items (13)

Inequality for a trace on a unital \(C^\ast\)-algebra ⋮ Inequalities for determinants and characterization of the trace ⋮ Seminorms associated with subadditive weights on \(C^*\)-algebras ⋮ Weighted monotonicity inequalities for traces on operator algebras ⋮ Commutation of projections and trace characterization on von Neumann algebras. II. ⋮ An inequality for projections and convex functions ⋮ Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Characterization of tracial functionals on von Neumann algebras ⋮ Commutativity of projections and characterization of traces on von Neumann algebras ⋮ Projections and traces on von Neumann algebras ⋮ Trace inequalities for Rickart \(C^{\ast}\)-algebras ⋮ Commutativity of projectors and trace characterization on von Neumann algebras. I. ⋮ Characterization of certain traces on von Neumann algebras

Cites Work

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• Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals
• Characterizations of the trace
• Characterization of normal traces on von Neumann algebras by inequalities for the modulus
• An Inequality Characterizes the Trace
• On characterizations of commutativity of C*-algebras

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