Norms that are invariant under unitary similarities and theC-numerical radii

DOI10.1080/03081088908817913zbMath0712.15029OpenAlexW2004469314MaRDI QIDQ3497213

Nam-Kiu Tsing, Chi-Kwong Li

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/03081088908817913

zbMATH Keywords

Hermitian matrixnumerical radiusunitarily invariant normsunitary matrix

Mathematics Subject Classification ID

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

Related Items (14)

Some aspects of the theory of norms ⋮ Permutation invariant norms ⋮ Inequalities relating norms invariant under unitary similarities ⋮ Linear maps relating different unitary similarity orbits or different generalized numerical ranges ⋮ Norm hull of vectors and matrices ⋮ Multiplicative Preservers of C-Numerical Ranges and Radii ⋮ Linear operators preserving unitary similarity invariant norms ⋮ C-numerical ranges andC-numerical radii ⋮ New applications to invariant matrix norms and combinatorics of an integral representation of natural powers of the numerical values ⋮ Isometries of a generalized numerical radius ⋮ Congruence numerical ranges and their radii ⋮ On \(G\)-invariant norms ⋮ G-invariant norms and G(c)-radii ⋮ Coherence measures induced by norm functions

Cites Work

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• Matrix Analysis
• A Simple proof of the Goldberg–Straus theorem on numerical radii
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• Unitarily Invariant Operator Norms
• Three elementary proofs of the goldberg-straus theorem on numerical radii
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators
• Inequalities: theory of majorization and its applications

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