Singular value and norm inequalities involving the numerical radii of matrices

DOI10.1007/s43034-023-00311-yOpenAlexW4389949179MaRDI QIDQ6183261

Ahmad Al-Natoor, Omar Hirzallah, Fuad Kittaneh

Publication date: 26 January 2024

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

Full work available at URL: https://doi.org/10.1007/s43034-023-00311-y

zbMATH Keywords

inequalitynormal matrixnumerical radiussingular valueunitarily invariant normpositive semidefinite matrixspectral normaccretive-dissipative matrix

Mathematics Subject Classification ID

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) Numerical range, numerical radius (47A12)

Cites Work

• Singular value and arithmetic-geometric mean inequalities for operators
• Singular value inequalities for convex functions of positive semidefinite matrices
• Hilbert-Schmidt numerical radius inequalities for operator matrices
• A generalization of the numerical radius
• The matrix arithmetic-geometric mean inequality revisited
• Commutator inequalities associated with the polar decomposition
• On upper and lower bounds of the numerical radius and an equality condition
• Jensen matrix inequalities and direct sums
• Some Norm Inequalities for Operators
• Numerical radius inequalities for Hilbert space operators

This page was built for publication: Singular value and norm inequalities involving the numerical radii of matrices