Existence, uniqueness and an ODE approach to the \(L^1\)-Karcher mean
From MaRDI portal
Publication:2214077
DOI10.1016/j.aim.2020.107435zbMath1482.47143arXiv1703.04292OpenAlexW3093055094MaRDI QIDQ2214077
Publication date: 4 December 2020
Published in: Advances in Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1703.04292
Probability measures on topological spaces (60B05) Semigroups of nonlinear operators (47H20) Convex sets and cones of operators (47L07) Operator means involving linear operators, shorted linear operators, etc. (47A64)
Related Items
Parameterized Wasserstein means, Unnamed Item, Following the Trail of the Operator Geometric Mean, Algorithms for approximating means of semi-infinite quasi-Toeplitz matrices
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotonicity of the matrix geometric mean
- The power mean and the least squares mean of probability measures on the space of positive definite matrices
- Matrix power means and the Karcher mean
- Discrete-time gradient flows and law of large numbers in Alexandrov spaces
- Riemannian geometry and matrix geometric means
- Operator means of probability measures and generalized Karcher equations
- Means of positive linear operators
- Barycentric maps for compactly supported measures
- Nonlinear martingale theory for processes with values in metric spaces of nonpositive curvature
- Existence and uniqueness of the Karcher mean on unital \(C^\ast\)-algebras
- Approximation of semi-groups of nonlinear operators
- Karcher means and Karcher equations of positive definite operators
- Convex analysis and optimization in Hadamard spaces
- Approximation for convex functionals on non-positively curved spaces and the Trotter–Kato product formula
- Riemannian center of mass and mollifier smoothing
- Real Analysis and Probability
- Contractive barycentric map
- A Differential Geometric Approach to the Geometric Mean of Symmetric Positive-Definite Matrices
- Gradient flows and a Trotter-Kato formula of semi-convex functions on CAT(1)-spaces
- Weighted deterministic walks for the least squares mean on Hadamard spaces
- Symmetric spaces with convex metrics
- On Certain Contraction Mappings in a Partially Ordered Vector Space
- Generation of Semi-Groups of Nonlinear Transformations on General Banach Spaces
- Theory of operator algebras I.
