On the unitarily invariant norms and some related results

DOI10.1080/03081088708817747zbMath0612.15017OpenAlexW2060089111MaRDI QIDQ3752529

Nam-Kiu Tsing, Chi-Kwong Li

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1080/03081088708817747

zbMATH Keywords

unitarily invariant normsmultiplicativityadditive triangle-like inequalities

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (13)

Unitarily invariant norms on operators ⋮ Some aspects of the theory of norms ⋮ Inequalities relating norms invariant under unitary similarities ⋮ Unitarily invariant norms related to semi-finite factors ⋮ Norms that are invariant under unitary similarities and theC-numerical radii ⋮ A note on unitarily invariant matrix norms ⋮ Least-squares approximation by elements from matrix orbits achieved by gradient flows on compact lie groups ⋮ The matrix valued triangle inequality:quaternion version ⋮ Linear operators preserving unitarily invariant norms of matrices ⋮ Operators polynomially isometric to a normal operator ⋮ Unnamed Item ⋮ Distance to the convex hull of the unitary orbit with respect to unitary similarity invariant norms ⋮ Faces of the unit ball of a unitarily invariant norm

Cites Work

• Unnamed Item
• A theorem on the trace of certain matrix products and some applications
• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• Unitarily invariant generalized matrix norms and hadamard products
• The generalized spectral radius, numerical radius and spectral norm
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Inequalities: theory of majorization and its applications

This page was built for publication: On the unitarily invariant norms and some related results