Epsilon-hypercyclic operators on a Hilbert space

Bayart, Frédéric

doi:10.1090/S0002-9939-2010-10414-8

Epsilon-hypercyclic operators on a Hilbert space
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by Frédéric Bayart PDF

Proc. Amer. Math. Soc. 138 (2010), 4037-4043 Request permission

Abstract:

For every fixed $\varepsilon >0$, we construct a bounded linear operator on the separable Hilbert space having an orbit which intersects every cone of aperture $\varepsilon >0$, but such that every orbit avoids a certain ball of positive radius (which depends on the orbit) and a fixed centre.

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