A note on the non-commutative arithmetic-geometric mean inequality

zbMath1417.15026arXiv1411.5058MaRDI QIDQ4685880

Teng Zhang

Publication date: 9 October 2018

Full work available at URL: https://arxiv.org/abs/1411.5058

zbMATH Keywords

matrix inequalitiespositive semidefinitearithmetic-geometric mean

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Inequalities involving eigenvalues and eigenvectors (15A42) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45)

Related Items (1)

On matrix rearrangement inequalities

Cites Work

• Monotonic properties of the least squares mean
• An arithmetic-geometric mean inequality for products of three matrices
• Notes on matrix arithmetic-geometric mean inequalities
• On the Singular Values of a Product of Operators
• More Matrix Forms of the Arithmetic-Geometric Mean Inequality
• The Geometric Mean, Matrices, Metrics, and More

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