A converse inequality of higher order weighted arithmetic and geometric means of positive definite operators

DOI10.1016/j.laa.2007.05.028zbMath1129.47017OpenAlexW1978902031MaRDI QIDQ996305

Yongdo Lim, Sejong Kim

Publication date: 14 September 2007

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

Full work available at URL: https://doi.org/10.1016/j.laa.2007.05.028

zbMATH Keywords

positive definite operatorarithmetic-geometric mean inequalitySpecht ratiohigher order weighted geometric mean

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

Tensor product and Hadamard product for the Wasserstein means ⋮ A reverse inequality for the weighted geometric mean due to Lawson--Lim ⋮ Matrix power means and the information monotonicity ⋮ Inequalities of the Wasserstein mean with other matrix means

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convexity of the geodesic distance on spaces of positive operators
• Kantorovich type operator inequalities via the Specht ratio.
• Geometric means
• An extension of Kantorovich inequality to \(n\)-operators via the geometric mean by Ando--Li--Mathias
• A general framework for extending means to higher orders
• Symmetric spaces with convex metrics
• Means of Positive Numbers and Matrices
• On Certain Contraction Mappings in a Partially Ordered Vector Space

This page was built for publication: A converse inequality of higher order weighted arithmetic and geometric means of positive definite operators