2 papers
math.FA2020
New classes of hypercyclic Toeplitz operators
Evgeny Abakumov, Anton Baranov, Stéphane Charpentier +1
We study hypercyclicity of Toeplitz operators in the Hardy space with symbols of the form , where is a rational function and $ϕ\in H^\i…
math.FA2017
On hypercyclic rank one perturbations of unitary operators
Anton Baranov, Vladimir Kapustin, Andrei Lishanskii
Recently, S. Grivaux showed that there exists a rank one perturbation of a unitary operator in a Hilbert space which is hypercyclic. Another construction was suggested later by the…