Maps on positive definite cones of 𝐶*-algebras preserving the Wasserstein mean

DOI10.1090/proc/15725OpenAlexW3174165306MaRDI QIDQ5027164

Lajos Molnár

Publication date: 4 February 2022

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/proc/15725

zbMATH Keywords

\(C^*\)-algebrapositive conepreserversWasserstein meanJordan *-isomorphisms

Mathematics Subject Classification ID

Convex sets and cones of operators (47L07) Automorphisms of selfadjoint operator algebras (46L40) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Operator means involving linear operators, shorted linear operators, etc. (47A64)

Related Items (5)

On certain order properties of non Kubo-Ando means in operator algebras ⋮ On some algebraic properties related to Heron type operator means on positive definite cones of \(C^\ast\)-algebras ⋮ Preservers of the p-power and the Wasserstein means on 2x2 matrices ⋮ Applications of the automatic additivity of positive homogeneous order isomorphisms between positive definite cones in \(C^*\)-algebras ⋮ Some new characterizations of central positive elements in \(C^\ast\)-algebras

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