Lemmens, Bas, Roelands, Mark, Wortel, Marten (2018) Isometries of infinite dimensional Hilbert geometries. Journal of Topology and Analysis, 10 (4). pp. 941-959. ISSN 1793-5253. (doi:10.1142/S1793525318500255) (KAR id:41205)
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| Official URL: http://dx.doi.org/10.1142/S1793525318500255 |
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Abstract
In this paper we extend two classical results concerning the isometries of strictly convex Hilbert geometries, and the characterisation of the isometry groups of Hilbert geometries on finite dimensional simplices, to infinite dimensions. The proofs rely on a mix of geometric and functional analytic methods.
| Item Type: | Article |
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| DOI/Identification number: | 10.1142/S1793525318500255 |
| Uncontrolled keywords: | Hilbert geometries, isometries, projective linear homomorphisms |
| Subjects: | Q Science |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Funders: | Engineering and Physical Sciences Research Council (https://ror.org/0439y7842) |
| Depositing User: | Bas Lemmens |
| Date Deposited: | 29 May 2014 10:43 UTC |
| Last Modified: | 05 Nov 2024 10:25 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/41205 (The current URI for this page, for reference purposes) |
University of Kent Author Information
Lemmens, Bas.
| Creator's ORCID: |
 https://orcid.org/0000-0001-6713-7683
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| CReDIT Contributor Roles: |
Roelands, Mark.
| Creator's ORCID: |
https://orcid.org/0000-0002-8885-9156
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| CReDIT Contributor Roles: |
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