Two-variable Wasserstein means of positive definite operators

DOI10.1007/s00009-022-02011-8OpenAlexW4223579399MaRDI QIDQ2134627

Jinmi Hwang, Sejong Kim

Publication date: 3 May 2022

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-022-02011-8

zbMATH Keywords

symmetrypositive definite operatorself-dualityAndo-Hiai inequalitytolerance relationWasserstein mean

Mathematics Subject Classification ID

Positive matrices and their generalizations; cones of matrices (15B48) Positive linear operators and order-bounded operators (47B65)

Related Items (1)

Weak log-majorization between the geometric and Wasserstein means

Cites Work

• Unnamed Item
• Unnamed Item
• A fixed-point approach to barycenters in Wasserstein space
• The Karcher mean of three variables and quadric surfaces
• Functional calculus for sesquilinear forms and the purification map
• Means of positive linear operators
• Log majorization and complementary Golden-Thompson type inequalities
• Convexity of the geodesic distance on spaces of positive operators
• Invariant tolerance relations on positive definite matrices
• Inequalities of the Wasserstein mean with other matrix means
• On the Bures-Wasserstein distance between positive definite matrices
• Relative entropy and Tsallis entropy of two accretive operators
• Metric convexity of symmetric cones
• Bounds for the Wasserstein mean with applications to the Lie-Trotter mean
• 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 for Tsallis relative entropy and generalized skew information
• Barycenters in the Wasserstein Space
• The Geometric Mean, Matrices, Metrics, and More
• Operator inequalities and gyrolines of the weighted geometric means
• VARIANTS OF ANDO–HIAI TYPE INEQUALITIES FOR DEFORMED MEANS AND APPLICATIONS
• Introduction to Real Analysis
• Further inequalities involving the weighted geometric operator mean and the Heinz operator mean

This page was built for publication: Two-variable Wasserstein means of positive definite operators