Weighted monotonicity inequalities for traces on operator algebras

DOI10.1134/S0001434610070175zbMath1252.46065OpenAlexW2016015725MaRDI QIDQ650269

Dinh Trung Hoa, Oleg E. Tikhonov

Publication date: 25 November 2011

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434610070175

zbMATH Keywords

monotonicityweight functionvon Neumann algebratraceHermitian matrixBorel function\(C^{\ast}\)-algebraself-adjoint elementtracial functional

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Noncommutative measure and integration (46L51)

Related Items (6)

Studies on noncommutative measure theory in Kazan university (1968--2018) ⋮ Characterization of tracial functionals on von Neumann algebras ⋮ Projections and traces on von Neumann algebras ⋮ Characterization of central elements of operator algebras by inequalities ⋮ Characterization of operator monotone functions by Powers–Størmer type inequalities ⋮ Characterization of certain traces on von Neumann algebras

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• Subadditivity inequalities in von Neumann algebras and characterization of tracial functionals
• Characterization of the trace by monotonicity inequalities
• Characterizations of the trace
• Characterization of normal traces on von Neumann algebras by inequalities for the modulus
• Theory of operator algebras. II
• Weighted trace inequalities of monotonicity
• An Inequality Characterizes the Trace
• Trace inequalities for spaces in spectral duality

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