On joint convexity of trace functions

DOI10.1016/j.laa.2004.05.002zbMath1060.47019OpenAlexW2094023341MaRDI QIDQ1886542

Turdebek N. Bekjan

Publication date: 18 November 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2004.05.002

zbMATH Keywords

Hilbert spacepositive operatorstrace functionjointly concaveoperator convexjointly convex

Mathematics Subject Classification ID

Determinants, permanents, traces, other special matrix functions (15A15) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56)

Related Items (13)

Convexity of a certain operator trace functional ⋮ Concavity of certain matrix trace and norm functions ⋮ Jointly convex mappings related to Lieb's theorem and Minkowski type operator inequalities ⋮ Variational representations related to Tsallis relative entropy ⋮ Some operator and trace function convexity theorems ⋮ On jointly concavity of some trace functions ⋮ Inequalities for quantum divergences and the Audenaert–Datta conjecture ⋮ Monotonicity of a relative Rényi entropy ⋮ A UNIFIED TREATMENT OF CONVEXITY OF RELATIVE ENTROPY AND RELATED TRACE FUNCTIONS, WITH CONDITIONS FOR EQUALITY ⋮ A Minkowski type trace inequality and strong subadditivity of quantum entropy. II: Convexity and concavity ⋮ From Wigner-Yanase-Dyson conjecture to Carlen-Frank-Lieb conjecture ⋮ A submajorization of Carlen and Lieb convexity ⋮ Some convexity inequalities in noncommutative \(L_p\)-spaces

Cites Work

• Remarks on two theorems of E. Lieb
• Convex trace functions and the Wigner-Yanase-Dyson conjecture
• Concavity of certain matrix trace functions
• Unnamed Item

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