A Krengel-type theorem for finitely-generated nilpotent groups
Vitaly BergelsonOhio State University, Columbus, OH 43210, USA (e-mail: {vitaly,leibman,borismit}@math.ohio-state.eduIsaac KornfeldNorth Dakota State University, Fargo, ND 58105, USA (e-mail:A. LeibmanOhio State University, Columbus, OH 43210, USA (e-mail: {vitaly,leibman,borismit}@math.ohio-state.eduBoris MityaginOhio State University, Columbus, OH 43210, USA (e-mail: {vitaly,leibman,borismit}@math.ohio-state.edu
2001en
ABI
Аннотация
Let \{U_{g}\}_{g\in G} be a weakly mixing unitary action of a finitely-generated nilpotent group on a Hilbert space \mathcal{H}. Extending a known result about abelian groups, we show that weakly wandering vectors are dense in \mathcal{H}.
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