D. Thompson

activity

20202026

most citedThe norm of a skew polynomial

1 citations · 2 across the 6 of their papers we have counts for

collaborators

7 papers

math.FA2026

Berezin Ranges of Composition Operators on $H^{2}$

Paul Bourdon, Trieu Le, Derek Thompson

We explore properties of the Berezin range $B (C_{ϕ})$ of a composition operator $C_{ϕ}$ on the Hardy space $H^{2}$ , including constraints on its location in the complex plane $\mathbb{C}…

math.FA2022

Closed-range posinormal operators and their products

Paul Bourdon, Carlos Kubrusly, Trieu Le +1

We focus on two problems relating to the question of when the product of two posinormal operators is posinormal, giving (1) necessary conditions and sufficient conditions for posin…

math.FA2022★ 1 cited

Powers of posinormal Hilbert-space operators

Paul S. Bourdon, C. S. Kubrusly, Derek Thompson

A bounded linear operator $A$ on a Hilbert space $H$ is posinormal if there exists a positive operator $P$ such that $A A^{*} = A^{*} P A$ . We show that if $A$ is posinormal…

math.FA2022

Posinormal Composition Operators on $H^{2}$

Paul S. Bourdon, Derek Thompson

A bounded linear operator $A$ on a Hilbert space is posinormal if there exists a positive operator $P$ such that $A A^{*} = A^{*} P A$ . Posinormality of $A$ is equivalent to the inclu…

math.FA2021

Spectra of Weighted Composition Operators with Quadratic Symbols

Jessica Doctor, Timothy Hodges, Scott Kaschner +2

Previously, spectra of certain weighted composition operators on the Hardy Space were discovered under one of two hypotheses: either the compositional symbol converges under iterat…

math.RA2021

Division algebras and MRD codes from skew polynomials

Daniel Thompson, Susanne Pumpluen

Let $D$ be a division algebra, finite-dimensional over its center, and $R = D [t; σ, δ]$ a skew polynomial ring. Using skew polynomials $f \in R$ , we construct division algebras and a ge…

math.RA2020★ 1 cited

The norm of a skew polynomial

Susanne Pumpluen, Daniel Thompson

Let $D$ be a finite-dimensional division algebra over its center and $R = D [t; σ, δ]$ a skew polynomial ring. Under certain assumptions on $δ$ and $σ$ , the ring of central quotients $D…

Berezin Ranges of Composition Operators on H2