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On Hilbert dynamical systems
Published online by Cambridge University Press: 13 June 2011
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 , and which is recurrent. We also show that there is a Polish monothetic group which is reflexively but not Hilbert representable.
- Type
- Research Article
- Information
- Ergodic Theory and Dynamical Systems , Volume 32 , Issue 2: Daniel J. Rudolph – in Memoriam , April 2012 , pp. 629 - 642
- Copyright
- Copyright © Cambridge University Press 2011
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