An Inequality Characterizes the Trace
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Publication:4176572
DOI10.4153/CJM-1979-109-9zbMath0394.46059OpenAlexW2332559814MaRDI QIDQ4176572
Publication date: 1979
Published in: Canadian Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4153/cjm-1979-109-9
Free probability and free operator algebras (46L54) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51)
Related Items (19)
Inequality for a trace on a unital \(C^\ast\)-algebra ⋮ Characterizations of the trace ⋮ Characterization of the trace by monotonicity inequalities ⋮ Metrics on projections of the von Neumann algebra associated with tracial functionals ⋮ On generalized Powers-Størmer's inequality ⋮ Spectra and variance of quantum random variables ⋮ On a parametric family of distance measures that includes the Hellinger and the Bures distances ⋮ On weighted monotonicity inequalities and characterizations of the traces ⋮ Commutation of projections and characterization of traces on von Neumann algebras. III ⋮ Weighted monotonicity inequalities for traces on operator algebras ⋮ Commutation of projections and trace characterization on von Neumann algebras. II. ⋮ Characterization of tracial functionals on von Neumann algebras ⋮ Matrix Monotone Functions and the Generalized Powers–Størmer Inequality ⋮ The Peierls-Bogoliubov inequality in \(C^\ast\)-algebras and characterization of tracial functionals ⋮ 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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