A new majorization between functions, polynomials, and operator inequalities. II

DOI10.2969/jmsj/06010291zbMath1153.47013OpenAlexW1995590861MaRDI QIDQ2478652

Mitsuru Uchiyama

Publication date: 25 March 2008

Published in: Journal of the Mathematical Society of Japan (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2969/jmsj/06010291

zbMATH Keywords

operator monotone functionoperator inequalityLöwner-Heinz inequalitymajorizationmatrix order

Mathematics Subject Classification ID

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

Related Items (9)

Furuta type inequalities via operator means and applications to Kadison's type inequalities ⋮ Majorization and some operator monotone functions ⋮ Inequality between unitary orbits ⋮ Operator inequalities: from a general theorem to concrete inequalities ⋮ Positive linear maps on \(C^\ast\)-algebras and rigid functions ⋮ Some ways of constructing Furuta-type inequalities ⋮ Operator monotone functions, positive definite kernels and majorization ⋮ A New Majorization Induced by Matrix Order ⋮ Interpolation functions and inequalities

Cites Work

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• Inequalities between \(\|f(A + B)\|\) and \(\|f(A) + f(B)\|\)
• A matrix subadditivity inequality for \(f(A + B)\) and \(f(A) + f(B)\)
• Furuta's inequality and its application to Ando's theorem
• Operator monotone functions which are defined implicitly and operator inequalities
• A new majorization between functions, polynomials, and operator inequalities
• Some exponential operator inequalities
• Inverse functions of polynomials and orthogonal polynomials as operator monotone functions
• On some operator inequalities
• On some operator monotone functions

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