On Young and Heinz inequalities for faithful tracial states

DOI10.1080/03081087.2016.1276151OpenAlexW2569327198MaRDI QIDQ4603779

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Publication date: 19 February 2018

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

Full work available at URL: https://doi.org/10.1080/03081087.2016.1276151

zbMATH Keywords

singular valuesHeinz inequalitysemifinite traceYoung's inequalityfaithful tracial state

Mathematics Subject Classification ID

Linear operator inequalities (47A63) General theory of (C^*)-algebras (46L05)

Related Items (1)

Some inequalities and majorization for products of \(\tau\)-measurable operators

Cites Work

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• Majorization and Stochastic maps in von Neumann algebras
• Convex and concave functions of singular values of matrix sums
• Young's inequality in trace-class operators
• Generalized s-numbers of \(\tau\)-measurable operators
• Matrix Young inequalities for the Hilbert-Schmidt norm
• On Young and Heinz inequalities for \(\tau\)-measurable operators
• Reverse Young and Heinz inequalities for matrices
• Reverses and variations of Heinz inequality
• On the Singular Values of a Product of Operators
• Triangle inequalities in operator algebras
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality

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