Roelands, MarkWortel, Marten2019-07-102019-08Roelands, M. & Wortel, M. 2019, 'Hilbert isometries and maximal deviation preserving maps on JB-algebras', Advances in Mathematics, vol. 352, pp. 836-861.0001-8708 (print)1090-2082 (online)10.1016/j.aim.2019.06.027http://hdl.handle.net/2263/70666In this paper we characterize the surjective linear variation norm isometries on JB-algebras. Variation norm isometries are precisely the maps that preserve the maximal deviation, the quantum analogue of the standard deviation, which plays an important role in quantum statistics. Consequently, we characterize the Hilbert's metric isometries on cones in JB-algebras.en© 2019 Elsevier Inc. All rights reserved. Notice : this is the author’s version of a work that was accepted for publication in Advances in Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Advances in Mathematics, vol. 352, pp. 836-861, 2019. doi : 10.1016/j.aim.2019.06.027.JB-algebrasHilbert's metricMaximal deviationLinear isometriesPostprint Article