Geometric Means of Positive Operators

DOI10.5666/KMJ.2009.49.1.167zbMath1182.47021OpenAlexW2006848113MaRDI QIDQ5324053

Noboru Nakamura

Publication date: 3 August 2009

Published in: Unnamed Author (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5666/kmj.2009.49.1.167

zbMATH Keywords

geometric meanpositive operatorarithmetic-geometric mean inequalityreverse inequality

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (7)

Weighted geometric mean of \(n\)-operators with \(n\)-parameters ⋮ Normal Cones and Thompson Metric ⋮ Geometric means of quasi-Toeplitz matrices ⋮ Factorizations and geometric means of positive definite matrices ⋮ Geometric means of structured matrices ⋮ The geometric mean of two matrices from a computational viewpoint ⋮ Algorithms for approximating means of semi-infinite quasi-Toeplitz matrices

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