Linear maps on observables in von Neumann algebras preserving the maximal deviation

DOI10.1112/jlms/jdp063zbMath1189.47036OpenAlexW1967589690MaRDI QIDQ3402221

Lajos Molnár

Publication date: 2 February 2010

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

Full work available at URL: https://doi.org/10.1112/jlms/jdp063

Mathematics Subject Classification ID

Transformers, preservers (linear operators on spaces of linear operators) (47B49)

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Functional identities and their applications, Transformations on bounded observables preserving measure of compatibility, Linear bijections on von Neumann factors commuting with λ‐Aluthge transform, Hilbert and Thompson isometries on cones in JB-algebras, Hilbert isometries and maximal deviation preserving maps on JB-algebras, Linear maps preserving maximal deviation and the Jordan structure of quantum systems