Concavity of certain matrix trace functions

DOI10.11650/twjm/1500574948zbMath0990.15008OpenAlexW4239308890MaRDI QIDQ5950092

Fumio Hiai

Publication date: 14 August 2002

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

Full work available at URL: https://doi.org/10.11650/twjm/1500574948

zbMATH Keywords

tensor productsHadamard productsconcavity of surface trace functionsmatrix trace functionsmatrix-valued functionoperator inequalitiesPick function

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Linear operator inequalities (47A63) Miscellaneous inequalities involving matrices (15A45) Multilinear algebra, tensor calculus (15A69)

Related Items (17)

Accretive operator means and the reverse arithmetic-geometric-harmonic inequality ⋮ On joint convexity of trace functions ⋮ Concavity of certain matrix trace and norm functions ⋮ Jointly convex mappings related to Lieb's theorem and Minkowski type operator inequalities ⋮ Generalizing Lieb's concavity theorem via operator interpolation ⋮ Variational representations related to Tsallis relative entropy ⋮ Ruminations on matrix convexity and the strong subadditivity of quantum entropy ⋮ On jointly concavity of some trace functions ⋮ A binomial expansion formula for weighted geometric means of unipotent matrices ⋮ Inequalities for quantum divergences and the Audenaert–Datta conjecture ⋮ Unnamed Item ⋮ α-z-Rényi relative entropies ⋮ Concavity of certain matrix trace and norm functions. II. ⋮ A Minkowski type trace inequality and strong subadditivity of quantum entropy. II: Convexity and concavity ⋮ From positive to accretive matrices ⋮ Operator means for operators with positive definite real part ⋮ A submajorization of Carlen and Lieb convexity

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