A Structure Theorem for the Polars of Unitarily Invariant Norms

DOI10.2307/2045797zbMath0588.15017OpenAlexW4240427212MaRDI QIDQ3715259

Marshall Freimer, Govind S. Mudholkar

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045797

zbMATH Keywords

singular valuesHölder's inequalityunitarily invariant normssymmetric normsstructure theorempolarsymmetric gauge functions

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Duality and reflexivity in normed linear and Banach spaces (46B10)

Related Items (1)

Exposed faces and duality for symmetric and unitarily invariant norms

Cites Work

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• An extension of Hölder's inequality
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• Analysis of Spectral Variation and Some Inequalities
• Convex Analysis
• "Closing-Up" of Sequence Spaces
• Maximum Properties and Inequalities for the Eigenvalues of Completely Continuous Operators

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