Hilbert isometries and maximal deviation preserving maps on JB-algebras
Operator Algebras
2019-06-21 v4 Functional Analysis
Metric Geometry
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.
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Cite
@article{arxiv.1706.10259,
title = {Hilbert isometries and maximal deviation preserving maps on JB-algebras},
author = {Mark Roelands and Marten Wortel},
journal= {arXiv preprint arXiv:1706.10259},
year = {2019}
}
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21 pages