Operator power means due to Lawson-Lim-Pálfia for \(1 < t < 2\)

DOI10.1016/j.laa.2014.07.011zbMath1307.47014OpenAlexW1990012984MaRDI QIDQ401194

Yuki Seo

Publication date: 26 August 2014

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

Full work available at URL: https://doi.org/10.1016/j.laa.2014.07.011

zbMATH Keywords

positive operatorpower meanKarcher meanThompson metricoperator geometric mean

Mathematics Subject Classification ID

Linear operator inequalities (47A63) Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Miscellaneous inequalities involving matrices (15A45) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (4)

Operator power means in the view of fixed points ⋮ Some inequalities for matrix power means ⋮ The relative operator entropy and the Karcher mean ⋮ Matrix inequalities related to power means of probability measures

Cites Work

• Matrix power means and the Karcher mean
• Riemannian geometry and matrix geometric means
• On a reverse of Ando-Hiai inequality
• Concavity of certain maps on positive definite matrices and applications to Hadamard products
• Convexity of the geodesic distance on spaces of positive operators
• On the exponential metric increasing property.
• Generalized Pólya-Szegő type inequalities for some non-commutative geometric means
• Karcher means and Karcher equations of positive definite operators
• The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order
• Inequalities between means of positive operators
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Operator power means due to Lawson-Lim-Pálfia for \(1 < t < 2\)