Matrix power means and new characterizations of operator monotone functions

DOI10.1080/03081087.2022.2134283arXiv2106.05914OpenAlexW3169077667MaRDI QIDQ6140326

Unnamed Author, Lê Công-Trình, Bich-Khue T. Vo, Dinh Trung Hoa

Publication date: 2 January 2024

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

Full work available at URL: https://arxiv.org/abs/2106.05914

zbMATH Keywords

operator monotone functionsmatrix geometric meanmatrix power meanKubo-Ando meansinverse problems for means

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Positive matrices and their generalizations; cones of matrices (15B48) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Lattices of continuous, differentiable or analytic functions (46E05) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Cites Work

• Unnamed Item
• Operator log-convex functions and operator means
• On characterization of operator monotone functions
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• New characterizations of operator monotone functions
• Über monotone Matrixfunktionen
• Monotone metrics on matrix spaces
• A new type of operator convexity
• Quantum divergences with \(p\)-power means
• On matrix inequalities between the power means: counterexamples
• Loewner's Theorem on Monotone Matrix Functions
• Characterization of operator monotone functions by Powers–Størmer type inequalities

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