Operator means and positivity of block operators

DOI10.1007/s00209-017-1958-0OpenAlexW2766349431MaRDI QIDQ1650186

Hamed Najafi

Publication date: 2 July 2018

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-017-1958-0

zbMATH Keywords

operator monotone functionoperator meanpositive block matrix

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

Generalized parallel sum of adjointable operators on Hilbert C*-modules ⋮ Operator functions and the operator harmonic mean ⋮ Positivity of $2\times2$ block matrices of operators ⋮ Some results on matrix means

Cites Work

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• Operator log-convex functions and operator means
• Jensen's inequality for operators and Loewner's theorem
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Means of positive linear operators
• Means of Hilbert space operators
• On the Riemannian metric of \(\alpha\)-entropies of density matrices
• Operator monotone functions, positive definite kernels and majorization
• Unitary orbits of Hermitian operators with convex or concave functions
• Inequalities for quantum Fisher information
• Thompson isometries of the space of invertible positive operators
• Inequalities between means of positive operators
• Sharp Inequalities for Some Operator Means
• The Matrix Golden Mean and Its Applications to Riccati Matrix Equations
• Means of Positive Numbers and Matrices
• Monotone and Convex Operator Functions

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