50 citations · 197 across the 9 of their papers we have counts for
10 papers · 1 filter
Matrix-Valued Truncated Toeplitz Operators: Properties and Applications
Rewayat Khan, Flavia Colonna
In this paper, we present an application of matrix-valued truncated Toeplitz operators to the matrix version of the Nevanlinna-Pick interpolation problem. We then investigate the u…
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…
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…
Weighted composition operators from to the Bloch space of a bounded homogeneous domain
Robert F. Allen, Flavia Colonna
Let be a bounded homogeneous domain in . In this paper, we study the bounded and the compact weighted composition operators mapping the Hardy space …
Multiplication operators on the Bloch space of bounded homogeneous domains
Robert F. Allen, Flavia Colonna
In this paper, we study the multiplication operators on the Bloch space of a bounded homogeneous domain in . Specifically, we characterize the bounded and the compact…
On the isometric composition operators on the Bloch space in
Robert F. Allen, Flavia Colonna
Let be a holomorphic self-map of a bounded homogeneous domain in . In this work, we show that the composition operator is bounded on…
Isometries and spectra of multiplication operators on the Bloch space
Robert F. Allen, Flavia Colonna
In this paper, we establish bounds on the norm of multiplication operators on the Bloch space of the unit disk via weighted composition operators. In doing so, we characterize the…