Singular value and arithmetic-geometric mean inequalities for operators

DOI10.15352/afa/1399900020zbMath1270.47013OpenAlexW2066271524MaRDI QIDQ714426

Hussien Albadawi

Publication date: 22 October 2012

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: http://www.emis.de/journals/AFA/AFA-tex_v3_n1_a2.pdf

zbMATH Keywords

positive operatorarithmetic-geometric mean inequalitysingular valueunitarily invariant norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Eigenvalues, singular values, and eigenvectors (15A18) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10)

Related Items (11)

More results on generalized singular number inequalities of \(\tau\)-measurable operators ⋮ Unitarily invariant norm inequalities for positive semidefinite matrices ⋮ Generalizations for singular value and arithmetic-geometric mean inequalities of operators ⋮ Norm inequalities for the spectral spread of Hermitian operators ⋮ Singular value and norm inequalities involving the numerical radii of matrices ⋮ Some results on Kwong functions and related inequalities ⋮ Interpolating inequalities related to a recent result of Audenaert ⋮ Singular values of convex functions of operators and the arithmetic-geometric mean inequality ⋮ Generalizations for singular value inequalities of operators ⋮ Interpolating inequalities for functions of positive semidefinite matrices ⋮ Singular value inequalities for convex functions of positive semidefinite matrices

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