Special symmetries of Banach spaces isomorphic to Hilbert spaces

dc.creatorTalponen, Jarno
dc.date2008-09-10
dc.date.accessioned2026-07-07T10:02:01Z
dc.date.available2026-07-07T10:02:01Z
dc.descriptionIn this paper Hilbert spaces are characterized among Banach spaces in terms of transitivity with respect to nicely behaved subgroups of the isometry group. For example, the following result is typical here: If X is a real Banach space isomorphic to a Hilbert space and convex-transitive with respect to the isometric finite-dimensional perturbations of the identity, then X is already isometric to a Hilbert space.
dc.identifierhttps://arxiv.org/abs/0809.1789
dc.identifierhttp://arxiv.org/abs/0809.1789
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168826
dc.subjectFunctional Analysis
dc.subject46C15; 46B04
dc.titleSpecial symmetries of Banach spaces isomorphic to Hilbert spaces
dc.typetext

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