57 citations · 59 across the 4 of their papers we have counts for
5 papers
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…
Averaged wave operators and complex-symmetric operators
Roman Bessonov, Vladimir Kapustin
We study the behaviour of sequences , where are unitary operators, whose spectral measures are singular with respect to the Lebesgue measure, and the c…
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…
On perturbations of the isometric semigroup of shifts on the semiaxis
G. G. Amosov, A. D. Baranov, V. V. Kapustin
We study perturbations of the semigroup of shifts on with the property that belongs to a certain Schatten-von…
Symbols of truncated Toeplitz operators
Anton Baranov, Roman Bessonov, Vladimir Kapustin
We consider three problems connected with coinvariant subspaces of the backward shift operator in Hardy spaces : 1) properties of truncated Toeplitz operators; 2) Carleson-typ…