Concavity of certain matrix trace and norm functions. II.

DOI10.1016/j.laa.2015.12.032zbMath1331.15014arXiv1507.00853OpenAlexW2963603606MaRDI QIDQ5965396

Fumio Hiai

Publication date: 3 March 2016

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

Full work available at URL: https://arxiv.org/abs/1507.00853

zbMATH Keywords

traceoperator monotone functionmatricesjoint concavityjoint convexityoperator meansymmetric anti-normssymmetric norms

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) Functional calculus for linear operators (47A60)

Related Items (8)

Convexity of a certain operator trace functional ⋮ Generalizing Lieb's concavity theorem via operator interpolation ⋮ Lieb type convexity for positive operator monotone decreasing functions ⋮ Strengthened convexity of positive operator monotone decreasing functions ⋮ Inequalities for quantum divergences and the Audenaert–Datta conjecture ⋮ Variational representations related to quantum Rényi relative entropies ⋮ Convexity of quasi-entropy type functions: Lieb's and Ando's convexity theorems revisited ⋮ From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture

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