Majorization and some operator monotone functions

DOI10.1016/j.laa.2008.11.023zbMath1188.47019OpenAlexW1997527839MaRDI QIDQ848565

Mitsuru Uchiyama

Publication date: 4 March 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2008.11.023

zbMATH Keywords

operator monotone functionmajorisationmatrix orderLöwner theorem

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Linear operator inequalities (47A63)

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The Hasegawa-Petz mean: properties and inequalities ⋮ Schrödinger uncertainty relation, Wigner-Yanase-Dyson skew information and metric adjusted correlation measure ⋮ Inequalities for generalized derivations of operator monotone functions in norm ideals of compact operators

Cites Work

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• A class of matrix monotone functions
• On the Riemannian metric of \(\alpha\)-entropies of density matrices
• A new majorization between functions, polynomials, and operator inequalities
• A new majorization between functions, polynomials, and operator inequalities. II
• Means for matrices and comparison of their norms

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