Norm inequalities related to the arithmetic-geometric mean inequalities for positive semidefinite matrices

DOI10.1007/s11117-018-0577-2zbMath1401.15019OpenAlexW2793953119WikidataQ130070659 ScholiaQ130070659MaRDI QIDQ1624070

Saja Hayajneh, Fuad Kittaneh, Mostafa Hayajneh

Publication date: 15 November 2018

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-018-0577-2

zbMATH Keywords

traceinequalitysingular valueunitarily invariant normpositive semidefinite matrixHilbert-Schmidt norm

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Hermitian and normal operators (spectral measures, functional calculus, etc.) (47B15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items

A Hilbert-Schmidt norm inequality for positive semidefinite matrices related to a question of Bourin ⋮ Bounds of Riemann-Liouville fractional integral operators ⋮ New Hilbert-Schmidt norm inequalities for positive semidefinite matrices ⋮ Norm inequalities for positive definite matrices related to a question of Bourin ⋮ Remarks on a question of Bourin for positive semidefinite matrices ⋮ The arithmetic-geometric mean inequality of indefinite type ⋮ Norm inequalities for positive semidefinite matrices and a question of Bourin. III

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