Inequalities of the Wasserstein mean with other matrix means

DOI10.1007/s43034-019-00025-0zbMath1455.15004OpenAlexW2991215020MaRDI QIDQ2287468

Sejong Kim, Ho Soo Lee

Publication date: 20 January 2020

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43034-019-00025-0

zbMATH Keywords

harmonic meanpower meanKarcher meanWasserstein mean

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Miscellaneous inequalities involving matrices (15A45) Positive linear operators and order-bounded operators (47B65) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items

Two-variable Wasserstein means of positive definite operators ⋮ Generalized parallel sum of adjointable operators on Hilbert C*-modules ⋮ 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 ⋮ Unnamed Item ⋮ Wasserstein barycenters of compactly supported measures ⋮ Matrix inequalities related to power means of probability measures ⋮ Maps on positive definite cones of 𝐶*-algebras preserving the Wasserstein mean

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