Jensen matrix inequalities and direct sums

DOI10.1080/03081080902843539zbMath1205.15035OpenAlexW2056182606MaRDI QIDQ3589200

Fuad Kittaneh, Jean-Christophe Bourin, Omar Hirzallah

Publication date: 20 September 2010

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/03081080902843539

zbMATH Keywords

eigenvaluesingular valuesJensen inequalitytrace inequalitiesnormal matricesoperator inequalitiesunitarily invariant normdirect sum

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) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57) Miscellaneous inequalities involving matrices (15A45)

Related Items (3)

On Hermitian operators \(X\) and \(Y\) meeting the condition \(-Y\leq X\leq Y\) ⋮ On 2×2 positive matrices of τ-measurable operators ⋮ Singular value and norm inequalities involving the numerical radii of matrices

Cites Work

• A concavity inequality for symmetric norms
• Inequalities for sums and direct sums of Hilbert space operators
• A matrix subadditivity inequality for symmetric norms
• Norm inequalities for weighted power means of operators

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