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Isometric Group Actions on Hilbert Spaces: Structure of Orbits
Published online by Cambridge University Press: 20 November 2018
Abstract
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.
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- Copyright © Canadian Mathematical Society 2008
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