A softer, stronger Lidskii theorem

DOI10.1007/BF02874648zbMath0675.15001OpenAlexW2092832482MaRDI QIDQ1121959

John A. R. Holbrook, Rajendra Bhatia

Publication date: 1989

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02874648

zbMATH Keywords

eigenvaluesweak majorizationselfadjoint matricesLidskii theoremsoft inequalitiesweakly unitarily invariant norms

Mathematics Subject Classification ID

Inequalities involving eigenvalues and eigenvectors (15A42) Eigenvalues, singular values, and eigenvectors (15A18) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60)

Related Items (5)

Eigenvalues of symmetrizable matrices ⋮ Hofer's metric in compact Lie groups ⋮ Spectral variation of normal matrices ⋮ Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces ⋮ Majorizations and inequalities in matrix theory

Cites Work

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• Eigenvalue inequalities associated with the cartesian decomposition
• Best Approximation of a Normal Operator in the Schatten p-Norm
• Spectral approximants of normal operators
• Inequalities: theory of majorization and its applications

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