Jensen and Minkowski inequalities for operator means and anti-norms

DOI10.1016/j.laa.2014.05.030zbMath1293.15017arXiv1106.2213OpenAlexW2963876251MaRDI QIDQ2249722

Jean-Christophe Bourin, Fumio Hiai

Publication date: 3 July 2014

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

Full work available at URL: https://arxiv.org/abs/1106.2213

zbMATH Keywords

convex functionmajorizationSchur productconcave functionpositive linear mapoperator meansymmetric normmatrix meansJensen inequalitiesanti-normMinkowski determinantal inequalitySchatten \(q\)-norms

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Functional calculus for linear operators (47A60) Miscellaneous inequalities involving matrices (15A45)

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