Unitarily invariant norm inequalities for positive semidefinite matrices

DOI10.1016/j.laa.2021.10.012zbMath1478.15027OpenAlexW3208939177MaRDI QIDQ2666918

Fuad Kittaneh, Sakina Benzamia, Ahmad Al-Natoor

Publication date: 23 November 2021

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

Full work available at URL: https://doi.org/10.1016/j.laa.2021.10.012

zbMATH Keywords

inequalitycommutatorconcave functionsingular valueunitarily invariant normpositive semidefinite matrix

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) Miscellaneous inequalities involving matrices (15A45)

Related Items (2)

Generalization of some unitarily invariant norm inequalities for matrices ⋮ Further unitarily invariant norm inequalities for positive semidefinite matrices

Cites Work

• Singular value and arithmetic-geometric mean inequalities for operators
• Singular values, norms, and commutators
• Inequalities for commutators of positive operators
• Norm estimates related to self-commutators
• Norm inequalities for sums and differences of positive operators
• More results on singular value inequalities of matrices
• Singular Values of Differences of Positive Semidefinite Matrices
• Unitary orbits of Hermitian operators with convex or concave functions
• On the Singular Values of a Product of Operators
• Unnamed Item

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