On some convexity and monotonicity inequalities of Elliott Lieb

zbMath1504.39044arXiv2202.03591MaRDI QIDQ2164181

Eric Anders Carlen

Publication date: 12 August 2022

Full work available at URL: https://arxiv.org/abs/2202.03591

zbMATH Keywords

monotonicityconvexitytrace inequalities

Mathematics Subject Classification ID

Miscellaneous inequalities involving matrices (15A45) Quantum measurement theory, state operations, state preparations (81P15) Functional inequalities, including subadditivity, convexity, etc. (39B62)

Related Items (5)

Equality cases in monotonicity of quasi-entropies, Lieb’s concavity and Ando’s convexity ⋮ Characterizing Schwarz maps by tracial inequalities ⋮ Ruminations on matrix convexity and the strong subadditivity of quantum entropy ⋮ Some convexity and monotonicity results of trace functionals ⋮ Monotonicity versions of Epstein's Concavity Theorem and related inequalities

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