Distance to the convex hull of the unitary orbit with respect to unitary similarity invariant norms

DOI10.1080/03081088908817933zbMath0687.15020OpenAlexW2015463157MaRDI QIDQ4205574

Chi-Kwong Li, Nam-Kiu Tsing

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1080/03081088908817933

zbMATH Keywords

Hermitian matricesconvex hullunitary orbitunitary invariant norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Convex sets in topological linear spaces; Choquet theory (46A55) Convex sets and cones of operators (47L07)

Related Items (7)

Some aspects of the theory of norms ⋮ Permutation invariant norms ⋮ Linear operators preserving unitary similarity invariant norms ⋮ Extended commutation principles for normal decomposition systems ⋮ Local minimizers of the distances to the majorization flows ⋮ Convex hulls of unitary orbits of normal elements in \(C^\ast\)-algebras with tracial rank zero ⋮ An approximation problem with respect to symmetric gauge functions with application to matrix spaces

Cites Work

• SYMMETRIC GAUGE FUNCTIONS AND UNITARILY INVARIANT NORMS
• On the unitarily invariant norms and some related results
• Closed Convex Hulls of Unitary Orbits in von Neumann Algebras
• Singular Values, Diagonal Elements, and Convexity
• Inequalities: theory of majorization and its applications

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