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math.DS2020
Dynamics of the Taylor shift on Bergman spaces
Jürgen Müller, Maike Thelen
The Taylor (backward) shift on Bergman spaces $A^p(\om)$ for general open sets $\om$ in the extended complex plane shows rich variety concerning its dynamical behaviour. Different…
math.DS2020
Mixing operators with prescribed unimodular eigenvectors
Hans-Peter Beise, Leonhard Frerick, Jürgen Müller
For arbitrary closed countable subsets of the unit circle examples of topologically mixing operators on Hilbert spaces are given which have a densely spanning set of unimodular…