Title: Hilbert isometries and maximal deviation preserving maps on JB-algebras,
Abstract: In 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.