Weighted geometric mean of \(n\)-operators with \(n\)-parameters

DOI10.1016/j.laa.2009.11.013zbMath1189.47019OpenAlexW2010978052MaRDI QIDQ846304

Takeaki Yamazaki, Changdo Jung, Yongdo Lim, Ho Soo Lee

Publication date: 9 February 2010

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

Full work available at URL: https://doi.org/10.1016/j.laa.2009.11.013

zbMATH Keywords

positive operatorsThompson metricgeometric mean of \(n\)-operatorsweighted geometric mean of \(n\)-operators

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Operator spaces (= matricially normed spaces) (47L25) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

Hermite-Hadamard type inequalities for operator geometrically convex functions II ⋮ Generalized Pólya-Szegő type inequalities for some non-commutative geometric means ⋮ Multi-variable weighted geometric means of positive definite matrices ⋮ On an iterative algorithm converging to the solution of \(XCX=D\)

Cites Work

• On a new construction of geometric mean of \(n\)-operators
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• Convexity of the geodesic distance on spaces of positive operators
• Geometric means
• A reverse inequality for the weighted geometric mean due to Lawson--Lim
• Metric convexity of symmetric cones
• A sharp converse inequality of three weightedv arithmetic and geometric means of positive definite operators
• Geometric Means of Positive Operators
• Symmetric spaces with convex metrics
• On Certain Contraction Mappings in a Partially Ordered Vector Space
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