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Isometries of infinite dimensional Hilbert geometries

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)

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
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: 04 Mar 2024 17:00 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/41205 (The current URI for this page, for reference purposes)

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