On Hilbert dynamical systems

Eli Glasner*, Benjamin Weiss

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

4 Scopus citations

Abstract

Returning to a classical question in harmonic analysis, we strengthen an old result of Walter Rudin. We show that there exists a weakly almost periodic function on the group of integers Z which is not in the norm-closure of the algebra B(Z) of Fourier-Stieltjes transforms of measures on the dual group Ž T, and which is recurrent. We also show that there is a Polish monothetic group which is reflexively but not Hilbert representable.

Original languageEnglish
Pages (from-to)629-642
Number of pages14
JournalErgodic Theory and Dynamical Systems
Volume32
Issue number2
DOIs
StatePublished - Apr 2012

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