52 citations
- University of YorkGB13 papers
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13 papers · 1 filter
Hypercyclicity of composition operators on discrete weighted Banach spaces
Robert F. Allen, Flavia Colonna, Rubén A. Martínez-Avendaño +1
In this paper, we study the hypercyclic composition operators on weighted Banach spaces of functions defined on discrete metric spaces. We show that the only such composition opera…
Multiplication operators between Lipschitz-type spaces on a tree
Robert F. Allen, Flavia Colonna, Glenn R. Easley
Let be the space of complex-valued functions on the set of vertices of an rooted infinite tree rooted at such that the difference of the values of at…
Compact differences of composition operators on weighted Dirichlet spaces
Robert F. Allen, Katherine Heller, Matthew A. Pons
Here we consider when the difference of two composition operators is compact on the weighted Dirichlet spaces . Specifically we study differences of composition oper…
Multiplication operators on the weighted Lipschitz space of a tree
Robert F. Allen, Flavia Colonna, Glenn R. Easley
We study the multiplication operators on the weighted Lipschitz space consisting of the complex-valued functions on the set of vertices of an infinit…
Multiplication operators between iterated logarithmic Lipschitz spaces of a tree
Robert F. Allen, Flavia Colonna, Andrew Prudhom
In this article, we characterize the bounded and the compact multiplication operators between distinct iterated logarithmic Lipschitz spaces, and between the Lipschitz space and an…
Multiplication operators on the iterated logarithmic Lipschitz spaces of a tree
Robert F. Allen, Flavia Colonna, Glenn R. Easley
We introduce a class of iterated logarithmic Lipschitz spaces , , on an infinite tree which arise naturally in the context of operator theory. We…