Isometries of infinite dimensional Hilbert geometries

DOI10.1142/S1793525318500255zbMath1431.46010arXiv1405.4147OpenAlexW2962843356MaRDI QIDQ4645888

Marten Wortel, Bas Lemmens, Mark Roelands

Publication date: 11 January 2019

Published in: Journal of Topology and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1405.4147

zbMATH Keywords

isometriesHilbert geometriesprojective linear homomorphisms

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Metric geometry (51F99) Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Isometric theory of Banach spaces (46B04) Groups as automorphisms of other structures (22F50)

Related Items

Hilbert and Thompson geometries isometric to infinite-dimensional Banach spaces ⋮ Hilbert and Thompson isometries on cones in JB-algebras ⋮ A metric version of Poincaré's theorem concerning biholomorphic inequivalence of domains

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