Hilbert isometries and maximal deviation preserving maps on JB-algebras

dc.contributor.authorRoelands, Mark
dc.contributor.authorWortel, Marten
dc.contributor.emailmarten.wortel@up.ac.zaen_ZA
dc.date.accessioned2019-07-10T09:44:38Z
dc.date.issued2019-08
dc.description.abstractIn 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_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2020-08-20
dc.description.librarianhj2019en_ZA
dc.description.urihttp://www.elsevier.com/locate/aimen_ZA
dc.identifier.citationRoelands, M. & Wortel, M. 2019, 'Hilbert isometries and maximal deviation preserving maps on JB-algebras', Advances in Mathematics, vol. 352, pp. 836-861.en_ZA
dc.identifier.issn0001-8708 (print)
dc.identifier.issn1090-2082 (online)
dc.identifier.other10.1016/j.aim.2019.06.027
dc.identifier.urihttp://hdl.handle.net/2263/70666
dc.language.isoenen_ZA
dc.publisherElsevieren_ZA
dc.rights© 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.en_ZA
dc.subjectJB-algebrasen_ZA
dc.subjectHilbert's metricen_ZA
dc.subjectMaximal deviationen_ZA
dc.subjectLinear isometriesen_ZA
dc.titleHilbert isometries and maximal deviation preserving maps on JB-algebrasen_ZA
dc.typePostprint Articleen_ZA

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