Lemmens, Bas, Roelands, Mark, Wortel, Marten (2019) Hilbert and Thompson isometries on cones in JB-algebras. Mathematische Zeitschrift, 292 (3-4). pp. 1511-1547. ISSN 0025-5874. (doi:10.1007/s00209-018-2144-8) (KAR id:57343)
PDF
Publisher pdf
Language: English
This work is licensed under a Creative Commons Attribution 4.0 International License.
|
|
Download this file (PDF/803kB) |
Preview |
Request a format suitable for use with assistive technology e.g. a screenreader | |
PDF
Author's Accepted Manuscript
Language: English Restricted to Repository staff only |
|
Contact us about this Publication
|
![]() |
Official URL: https://doi.org/10.1007/s00209-018-2144-8 |
Abstract
Hilbert's and Thompson's metric spaces on the interior of cones in JB-algebras are important examples of symmetric 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 Bosche on the Hilbert and Thompson isometries on symmetric cones, and work by Hatori and Molnar on the Thompson isometries on the cone of positive self-adjoint elements in a unital C* -algebra. To obtain the results we develop a variety of new geometric and Jordan algebraic techniques.
Item Type: | Article |
---|---|
DOI/Identification number: | 10.1007/s00209-018-2144-8 |
Uncontrolled keywords: | Hilbert’s metric, Thompson’s metric, Order unit spaces, JB-algebras, Isometries, Symmetric Banach–Finsler manifolds |
Subjects: |
Q Science Q Science > QA Mathematics (inc Computing science) > QA299 Analysis, Calculus |
Divisions: |
Central Services > Information Services Central Services > Universities at Medway Central Services > Research and Innovation Services |
Depositing User: | Bas Lemmens |
Date Deposited: | 20 Sep 2016 09:00 UTC |
Last Modified: | 09 Jan 2024 19:29 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/57343 (The current URI for this page, for reference purposes) |
- Link to SensusAccess
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):