Contractive barycentric map

DOI10.7900/jot.2015dec24.2111zbMath1399.47199OpenAlexW2585099163MaRDI QIDQ4978082

Yongdo Lim, Jimmie D. Lawson

Publication date: 17 August 2017

Published in: Journal of Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7900/jot.2015dec24.2111

zbMATH Keywords

Jensen's inequalitypositive operatoroperator meanKarcher meangeodesic metric spacebarycentric map

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Convex sets and cones of operators (47L07) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (18)

Ergodic theorem in CAT(0) spaces in terms of inductive means ⋮ Repetition invariant geometric means ⋮ Log-majorizations for the (symplectic) eigenvalues of the Cartan barycenter ⋮ Log-majorization and Lie-Trotter formula for the Cartan barycenter on probability measure spaces ⋮ Geometric mean flows and the Cartan barycenter on the Wasserstein space over positive definite matrices ⋮ Barycentric maps for compactly supported measures ⋮ Contractive barycentric maps and \(L^{1}\) ergodic theorems on the cone of positive definite matrices ⋮ Mixture and interpolation of the parameterized ordered means ⋮ Existence, uniqueness and an ODE approach to the \(L^1\)-Karcher mean ⋮ Following the Trail of the Operator Geometric Mean ⋮ The stochastic order of probability measures on ordered metric spaces ⋮ The quasi-arithmetic means and Cartan barycenters of compactly supported measures ⋮ The order properties and Karcher barycenters of probability measures on the open convex cone ⋮ Matrix-valued Jensen's inequality and its application to eigenvalue analysis ⋮ Ordered probability spaces ⋮ Existence and uniqueness of the Karcher mean on unital \(C^\ast\)-algebras ⋮ Convergence theorems for barycentric maps ⋮ Operator means of probability measures

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