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arXiv · 1312.7465

On the intersection of the spectrum of frequently hypercyclic operators with the unit circle

Hans-Peter Beise
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Abstract

We exclude the existence of frequently hypercyclic operators that have a spectrum contained in the closed unit disc and that intersects the unit circle in only finitely many points under certain additional conditions. This extends a result of S. Shkarin, which states that the spectrum of a frequently hypercyclic operator cannot have isolated points.

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Hans-Peter Beise. 2013-12-28. On the intersection of the spectrum of frequently hypercyclic operators with the unit circle. https://arxiv.org/abs/1312.7465

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