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pro vyhledávání: '"Łanucha, Bartosz"'
We discuss de Branges-Rovnyak spaces $\mathcal H(b)$ generated by nonextreme and rational functions $b$ and local Dirichlet spaces of order $m$ introduced in [6]. In [6] the authors characterized nonextreme $b$ for which the operator $Y=S|_{\mathcal
Externí odkaz:
http://arxiv.org/abs/2306.07146
In this paper we investigate intertwining relations for compressions of $k^{th}$--order slant Toeplitz operators to model spaces. We then ask when a product of two such compressions is a compression itself.
Comment: 23 pages
Comment: 23 pages
Externí odkaz:
http://arxiv.org/abs/2207.10759
The property of being shift invariant and being reflexive or transitive in the case of the space of (asymmetric) truncated Toeplitz operators, and the space of (asymmetric) dual truncated operators is investigated. Most of the results obtained are ne
Externí odkaz:
http://arxiv.org/abs/2203.09265
Following Beurling's theorem the natural compressions of the multiplication operator in the classical $L^2$ space are compressions to model spaces and to their orthogonal complements. Two possibly different model spaces are considered hence asymmetri
Externí odkaz:
http://arxiv.org/abs/2012.05330
Conjugations in space $L^2$ of the unit circle commuting with multiplication by $z$ or intertwining multiplications by $z$ and $\bar z$ are characterized. We also study their behaviour with respect to the Hardy space, subspaces invariant for the unil
Externí odkaz:
http://arxiv.org/abs/1912.13265
Conjugations commuting with $\mathbf{M}_z$ and intertwining $\mathbf{M}_z$ and $\mathbf{M}_{\bar z}$ in $L^2(\mathcal{H})$, where $\mathcal{H}$ is a Hilbert space, are characterized. We also investigate which of them leave invariant the whole Hardy s
Externí odkaz:
http://arxiv.org/abs/1912.13270
Asymmetric dual truncated Toeplitz operators acting between the orthogonal complements of two (eventually different) model spaces are introduced and studied. They are shown to be equivalent after extension to paired operators on $L^2(\mathbb T) \oplu
Externí odkaz:
http://arxiv.org/abs/1912.13266
In this paper we consider compressions of $k^{th}$--order slant Toeplitz operators to the backward shift invariant subspaces of the classical Hardy space $H^2$. In particular, we characterize these operators using compressed shifts and finite rank op
Externí odkaz:
http://arxiv.org/abs/1911.03751
Autor:
Łanucha, Bartosz, Nowak, Maria T.
We describe de Branges-Rovnyak spaces $\mathcal H (b_{\alpha})$, $\alpha>0$, where the function $b_{\alpha}$ is not extreme in the unit ball of $H^{\infty}$ on the unit disk $\mathbb D$, defined by the equality $b_{\alpha}(z)/a_{\alpha}(z)=(1-z)^{-\a
Externí odkaz:
http://arxiv.org/abs/1807.04347
Publikováno v:
Complex Anal. Oper. Theory 13, 673-684 (2019)
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. In this paper we show that such characterizations hold in all cases.
Externí odkaz:
http://arxiv.org/abs/1705.10703