Linear maps on the space of all bounded observables preserving maximal deviation.

DOI10.1016/S0022-1236(03)00213-1zbMath1047.47029arXivmath/0305359MaRDI QIDQ1421850

Lajos Molnár, Mátyás Barczy

Publication date: 3 February 2004

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

Full work available at URL: https://arxiv.org/abs/math/0305359

zbMATH Keywords

momentsisometryvariancemean valuelinear preserversdeviationbounded observable

Mathematics Subject Classification ID

Linear spaces of operators (47L05) Nonassociative selfadjoint operator algebras (46L70) Transformers, preservers (linear operators on spaces of linear operators) (47B49)

Related Items

Transformations on the sets of states and density operators, Transformations on bounded observables preserving measure of compatibility, Maps preserving the \(c\)-numerical radius of products for operators in \(\mathfrak{B}(\mathcal{H})\), Isometries of the spaces of self-adjoint traceless operators, Linear mappings preserving the diameter of the numerical range, Linear Maps Preserving Matrices of Local Spectral Radius Zero at a Fixed Vector, 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, Linear preservers and quantum information science

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