Reverse Young-type inequalities for matrices and operators

DOI10.1216/RMJ-2016-46-4-1089zbMath1352.15023arXiv1410.1975MaRDI QIDQ329909

Mohammad Sal Moslehian, Mario Krnić, Mojtaba Bakherad

Publication date: 24 October 2016

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.1975

zbMATH Keywords

tracedeterminantpositive operatorsingular valueunitarily invariant normYoung inequalityoperator meanHilbert-Schmidt norm

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

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Reverses of Ando's and Hölder-McCarty's inequalities ⋮ Extensions of interpolation between the arithmetic-geometric mean inequality for matrices ⋮ Interpolating Jensen-type operator inequalities for log-convex and superquadratic functions ⋮ Improved matrix inequalities using radical convexity ⋮ New versions of refinements and reverses of Young-type inequalities with the Kantorovich constant ⋮ On the matrix harmonic mean ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Reverses of Young type inequalities for matrices using the classical Kantorovich constant ⋮ Some extensions of the Young and Heinz inequalities for matrices ⋮ Improved Young and Heinz operator inequalities with Kantorovich constant ⋮ Further refinements of generalized numerical radius inequalities for Hilbert space operators ⋮ Some refinements of the improved Young and its reverse inequalities ⋮ Quadratic refinements of Young type inequalities ⋮ Some extended numerical radius inequalities ⋮ Extrapolation of convex functions ⋮ Further inequalities for convex functions ⋮ Further refinements and generalizations of the Young's and its reverse inequalities

Cites Work

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