Isometries of infinite dimensional Hilbert geometries
Bas Lemmens, Mark C. P. Roelands, Marten Wortel · Journal of Topology and Analysis · 2017
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.