Refinements and reverses of means inequalities for Hilbert space operators

DOI10.15352/bjma/1363784220zbMath1276.47021OpenAlexW2050272357MaRDI QIDQ1943741

Fuad Kittaneh, Omar Hirzallah, Mario Krnić, Neda Lovričević, Josip E. Pečarić

Publication date: 20 March 2013

Published in: Banach Journal of Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.bjma/1363784220

zbMATH Keywords

eigenvaluecompact operatorpositive operatorrefinementoperator mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Linear operators defined by compactness properties (47B07) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spectrum, resolvent (47A10) Other analytical inequalities (26D20)

Related Items (5)

Relative entropy and Tsallis entropy of two accretive operators ⋮ Operator iteration on the Young inequality ⋮ Piecewise quadratic interpolation and applications to the Young inequality ⋮ FUNCTIONAL VERSIONS OF SOME REFINED AND REVERSED OPERATOR MEAN INEQUALITIES ⋮ A characterization of mean values for Csiszár's inequality and applications

Cites Work

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• The best lower bound depended on two fixed variables for Jensen's inequality with ordered variables
• Eigenvalue inequalities for differences of means of Hilbert space operators
• Improved Young and Heinz inequalities for matrices
• The best lower bound for Jensen's inequality with three fixed ordered variables
• Improved arithmetic-geometric and Heinz means inequalities for Hilbert space operators
• Reverse Young and Heinz inequalities for matrices
• Inequalities involving the arithmetic and geometric operator means
• Norm inequalities for weighted power means of operators

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