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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…
Spectral theory of rank one perturbations of normal compact operators
Anton Baranov
We construct a functional model for rank one perturbations of compact normal operators acting in a certain Hilbert spaces of entire functions generalizing de Branges spaces. Using…
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…
On applications of the model spaces to the construction of cocyclic perturbations of the semigroup of shifts on the semiaxis
G. G. Amosov, A. D. Baranov, V. V. Kapustin
We describe a construction of cocyclic perturbations of the semigroup of shifts on the semiaxis by means of the theory of model spaces. It is shown that one can choose an inner fun…