NORM AND ANTI-NORM INEQUALITIES FOR POSITIVE SEMI-DEFINITE MATRICES

DOI10.1142/S0129167X1100715XzbMath1239.15014arXiv1012.5171OpenAlexW2963068080MaRDI QIDQ3093015

Jean-Christophe Bourin, Fumio Hiai

Publication date: 12 October 2011

Published in: International Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5171

zbMATH Keywords

convex functionmajorizationsubadditivityconcave functionsuperadditivitysymmetric anti-normsymmetric normtrace functionals

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

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Cites Work

• Unnamed Item
• Eigenvalue inequalities for convex and log-convex functions
• Means of positive linear operators
• The Sharp Rado Theorem for Majorizations

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