Facial structures of schattenp-Norms

DOI10.1080/03081089008818012zbMath0706.15027OpenAlexW1978224129MaRDI QIDQ3487571

Wa-Sin So

Publication date: 1990

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

Full work available at URL: https://doi.org/10.1080/03081089008818012

zbMATH Keywords

extreme pointsunitarily invariant normfacial structureclosed unit ballnormed spaces of matricesproper closed facesSchatten p-norms

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Spaces of operators; tensor products; approximation properties (46B28) Algebraic systems of matrices (15A30) Convex sets in topological linear spaces; Choquet theory (46A55)

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Subdifferentials, faces, and dual matrices, Some aspects of the theory of norms, Unnamed Item, Robust covariance estimation under \(L_4\)-\(L_2\) norm equivalence, An Extended Frank--Wolfe Method with “In-Face” Directions, and Its Application to Low-Rank Matrix Completion, High, low, and quantitative roads in linear algebra, Birkhoff-James orthogonality and applications: a survey, Characterization of the subdifferential of some matrix norms, On the extremal structure of least upper bound norms and their dual, Facial structure of the trace class, Duality Mapping for Schatten Matrix Norms, Exposed faces and duality for symmetric and unitarily invariant norms, Faces of the unit ball of a unitarily invariant norm

Cites Work

• On the characterization of the extremal points of the unit sphere of matrices
• Principal submatrices. IX: Interlacing inequalities for singular values of submatrices
• Singular Values, Diagonal Elements, and Convexity
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators