Hilbert and Thompson isometries on cones in JB-algebras

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dc.contributor.author Lemmens, Bas
dc.contributor.author Roelands, Mark
dc.contributor.author Wortel, Marten
dc.date.accessioned 2019-02-08T08:19:07Z
dc.date.available 2019-02-08T08:19:07Z
dc.date.issued 2018-10-13
dc.description.abstract Hilbert’s and Thompson’s metric spaces on the interior of cones in JB-algebras are important examples of symmetric Banach-Finsler spaces. In this paper we characterize the Hilbert’s metric isometries on the interiors of cones in JBW-algebras, and the Thompson’s metric isometries on the interiors of cones in JB-algebras. These characterizations generalize work by Bosché on the Hilbert’s and Thompson’s metric isometries on symmetric cones, and work by Hatori and Molnár on the Thompson’s metric isometries on the cone of positive selfadjoint elements in a unital C∗-algebra. To obtain the results we develop a variety of new geometric and Jordan algebraic techniques. en_ZA
dc.description.department Mathematics and Applied Mathematics en_ZA
dc.description.librarian am2019 en_ZA
dc.description.uri https://link.springer.com/journal/209 en_ZA
dc.identifier.citation Lemmens, B., Roelands, M. & Wortel, M. Hilbert and Thompson isometries on cones in JB-algebras. Mathematische Zeitschrift (2018). https://doi.org/10.1007/s00209-018-2144-8. NYP. en_ZA
dc.identifier.issn 0025-6153 (print)
dc.identifier.issn 2279-8013 (online)
dc.identifier.other 10.1007/s00209-018-2144-8
dc.identifier.uri http://hdl.handle.net/2263/68438
dc.language.iso en en_ZA
dc.publisher Springer en_ZA
dc.rights © The Author(s) 2018. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/). en_ZA
dc.subject Hilbert’s metric en_ZA
dc.subject Thompson’s metric en_ZA
dc.subject Order unit spaces en_ZA
dc.subject JB-algebras en_ZA
dc.subject Isometries en_ZA
dc.subject Symmetric Banach–Finsler manifolds en_ZA
dc.title Hilbert and Thompson isometries on cones in JB-algebras en_ZA
dc.type Article en_ZA


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