Isometries of infinite dimensional Hilbert geometries
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Authors
Lemmens, Bas
Roelands, Mark
Wortel, Marten
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Publisher
World Scientific
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
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Citation
Lemmens, B. et al. 2018. Isometries of infinite dimensional Hilbert geometries. Journal of topology and analysis, 10(4):941-959. [https://doi.org/10.1142/S1793525318500255]