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Isometric group actions on Hilbert spaces: Structure of orbits

Auteur(s)
De Cornulier, Yvan
Tessera, Romain
Date de parution
2008
In
Canadian Journal of Mathematics-Journal Canadien De Mathematiques
Vol.
5
No
60
De la page
1001
A la page
1009
Mots-clés
Résumé
Our main result is that a finitely generated nilpotent group has no isometric action on an infinite-dimensional Hilbert space with dense orbits. In contrast, we construct such an action with a finitely generated metabelian group.
Identifiants
https://libra.unine.ch/handle/123456789/13886
Type de publication
journal article