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6 papers
De Branges-Rovnyak spaces and local Dirichlet spaces of higher order
Bartosz Łanucha, Małgorzata Michalska, Maria Nowak +1
We discuss de Branges-Rovnyak spaces generated by nonextreme and rational functions and local Dirichlet spaces of order introduced in [6]. In [6] the author…
Some characterizations of asymmetric truncated Toeplitz operators
Bartosz Łanucha, Małgorzata Michalska
It was recently proved that in some special cases asymmetric truncated Toeplitz operators can be characterized in terms of compressed shifts and rank-two operators of special form.…
Characterization of truncated Toeplitz operators by conjugations
Kamila Kliś-Garlicka, Bartosz Łanucha, Marek Ptak
Truncated Toeplitz operators are C--symmetric with respect to the canonical conjugation given on an appropriate model space. However, by considering only one conjugation one cannot…
Asymmetric truncated Toeplitz operators on finite-dimensional spaces II
Bartosz Łanucha
In this paper we present some consequences of the description of matrix representations of asymmetric truncated Toeplitz operators acting between finite-dimensional model spaces. I…
Asymmetric truncated Toeplitz operators on finite-dimensional spaces
Joanna Jurasik, Bartosz Łanucha
In this paper we consider asymmetric truncated Toeplitz operators acting between two finite-dimensional model spaces. We compute the dimension of the space of all such operators. W…
Asymmetric truncated Toeplitz operators equal to the zero operator
Joanna Jurasik, Bartosz Łanucha
Asymmetric truncated Toeplitz operators are compressions of multiplication operators acting between two model spaces. These operators are natural generalizations of truncated Toepl…