Operator Ky Fan type inequalities

DOI10.1016/j.laa.2018.07.009OpenAlexW2884322566WikidataQ129558599 ScholiaQ129558599MaRDI QIDQ1668999

Mohammad Sal Moslehian, Somayeh Habibzadeh, Jamal Rooin

Publication date: 29 August 2018

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

Full work available at URL: https://arxiv.org/abs/1811.00475

zbMATH Keywords

integral representationoperator monotone functionoperator meanKy Fan type inequalities

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Inequalities involving eigenvalues and eigenvectors (15A42) Linear operators defined by compactness properties (47B07) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

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• Recent developments of matrix versions of the arithmetic-geometric mean inequality
• Around operator monotone functions
• Means of positive linear operators
• The inequality of Ky Fan and related results
• On the Ky Fan inequality and some of its applications
• On a Ky Fan type inequality due to H.\ Alzer
• Unexpected relations which characterize operator means
• Ky Fan inequalities
• A Geometric Proof of the Beppo–Levi Inequality
• Alzer Inequality for Hilbert Spaces Operators
• An approach to Ky Fan type inequalities from binomial expansions
• On the Ky Fan inequality and related inequalities II
• Norm inequalities for weighted power means of operators

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