Isometric group actions on Hilbert spaces: structure of orbits
نویسندگان
چکیده
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. Mathematics Subject Classification: Primary 22D10; Secondary 43A35, 20F69.
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تاریخ انتشار 2008