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Minimal Invariant Subspaces for an Affine Composition Operator

Complex Analysis and Operator Theory, 2023
The composition operator $$C_{\phi _a}f=f\circ \phi _a$$ C ϕ a f = f ∘ ϕ a on the Hardy–Hilbert space $$H^2({\mathbb {D}})$$ H 2 ( D ) with affine symbol $$\phi _a(z)=az+1-a$$ ϕ a ( z ) = a z + 1 - a and ...
João R. Carmo, B. Eidt, S. Noor
semanticscholar   +1 more source

Norm and Essential Norm of a Weighted Composition Operator on the Bloch Space

Integral equations and operator theory, 2017
Some new estimates for the norm and essential norm of a weighted composition operator on the Bloch space are given in this paper.
Xiaosong Liu, Songxiao Li
semanticscholar   +2 more sources

Topologizability and Related Properties of the Iterates of Composition Operators in Gelfand-Shilov Classes

Integral equations and operator theory
We analyse the behaviour of the iterates of composition operators defined by polynomials acting on global classes of ultradifferentiable functions of Beurling type which are invariant under the Fourier transform.
A. A. Albanese, Héctor Ariza
semanticscholar   +1 more source

On the Berezin range of Toeplitz and weighted composition operators on weighted Bergman spaces

Complex Analysis and Operator Theory
In this article, we completely characterize the Berezin range of Toeplitz operators with harmonic symbols acting on weighted Bergman spaces, illustrating the necessity of the harmonicity condition through examples.
Anirban Sen, Somdatta Barik, Kallol Paul
semanticscholar   +1 more source

Fredholm composition operators on Banach spaces of holomorphic functions

Journal of operator theory
Let B(Ω) be a Banach space of holomorphic functions on a\break bounded connected domain Ω in Cn, which contains the ring of polynomials on Ω. Under suitable assumptions on Ω and B(Ω), we establish a characterization of the composition operator and the ...
Guangfu Cao, Li He, Ji Li
semanticscholar   +1 more source

Notes on Hypercyclicity of Composition Operator on the Weighted Dirichlet Spaces

Complex Analysis and Operator Theory, 2022
Li Zhang   +3 more
semanticscholar   +1 more source

Inducing Riesz Bases in L2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$L^2$$\end{document}via Composition Operators

Complex Analysis and Operator Theory
Let Ch\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$C_h$$\end{document}
Yahya Saleh, Armin Iske
semanticscholar   +1 more source

Compactness of Composition Operators on the Bergman Space of the Bidisc

Integral equations and operator theory
Let φ\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\varphi $$\end ...
Timothy G. Clos   +2 more
semanticscholar   +1 more source

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