Bounds for the Wasserstein mean with applications to the Lie-Trotter mean
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Publication:2633819
DOI10.1016/j.jmaa.2019.03.049zbMath1436.15041arXiv1804.04323OpenAlexW2963854482MaRDI QIDQ2633819
Publication date: 10 May 2019
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.04323
Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Hermitian, skew-Hermitian, and related matrices (15B57) Operator means involving linear operators, shorted linear operators, etc. (47A64)
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Two-variable Wasserstein means of positive definite operators ⋮ Weak log-majorization between the geometric and Wasserstein means ⋮ Right mean for the \(\alpha - z\) Bures-Wasserstein quantum divergence ⋮ Tensor product and Hadamard product for the Wasserstein means ⋮ Weak log-majorization and inequalities of power means ⋮ Parameterized Wasserstein means ⋮ Wasserstein barycenters of compactly supported measures ⋮ Inequalities of the Wasserstein mean with other matrix means ⋮ Maps on positive definite cones of 𝐶*-algebras preserving the Wasserstein mean
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