Norms on complex matrices induced by random vectors II: extension of weakly unitarily invariant norms

DOI10.4153/s0008439523000875MaRDI QIDQ6634714

Unnamed Author, Stephan Ramon Garcia, Angel Chavez

Publication date: 8 November 2024

Published in: Canadian Mathematical Bulletin (Search for Journal in Brave)

zbMATH Keywords

normtraceprobability distributionsymmetric polynomialunitary invariance

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Trace rings and invariant theory (associative rings and algebras) (16R30)

Cites Work

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• Unitary invariance and spectral variation
• Some simple inequalities satisfied by convex functions.
• Exponential polynomials
• Inequalities relating norms invariant under unitary similarities
• Group Invariance and Convex Matrix Analysis
• Norms on complex matrices induced by complete homogeneous symmetric polynomials
• Norms on complex matrices induced by random vectors

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