Singular value inequalities for convex functions of positive semidefinite matrices

DOI10.1007/s43034-022-00233-1zbMath1503.15022OpenAlexW4309484421MaRDI QIDQ2105341

Ahmad Al-Natoor, Fuad Kittaneh, Omar Hirzallah

Publication date: 8 December 2022

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

Full work available at URL: https://doi.org/10.1007/s43034-022-00233-1

zbMATH Keywords

convex functioninequalitysingular valueunitarily invariant normpositive semidefinite matrixspectral 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) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Hermitian, skew-Hermitian, and related matrices (15B57)

Related Items (3)

Generalization of some unitarily invariant norm inequalities for matrices ⋮ Singular value and norm inequalities involving the numerical radii of matrices ⋮ Singular value inequalities of matrices with concave functions

Cites Work

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• Singular value and arithmetic-geometric mean inequalities for operators
• Singular values, norms, and commutators
• Norm inequalities involving accretive-dissipative \(2\times 2\) block matrices
• More results on singular value inequalities of matrices
• On the Singular Values of a Product of Operators
• Interpolating between the arithmetic-geometric mean and Cauchy-Schwarz matrix norm inequalities
• Matrix inequalities

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