activity
20032026
most citedSpectra of some composition operators and associated weighted composition operators

29 citations · 110 across the 19 of their papers we have counts for

collaborators

19 papers

math.FA2026

Fredholm multiplication operators on Banach spaces of analytic functions on the open unit disk

Paul Bourdon, Mahsa Fatehi

We identify properties of a Banach space of analytic functions on the open unit disk in the complex plane ensuring that a multiplication operator $M_ψ: \…

q-bio.QM2024

A Reanalysis of the FDA's Benefit--Risk Assessment of Moderna's mRNA-1273 COVID Vaccine Based on a Model Incorporating Benefits Derived from Prior COVID Infection

Paul S. Bourdon, Ram Duriseti, H. Christian Gromoll +3

The United States Food and Drug Administration (FDA) conducted a benefit-risk assessment for Moderna's COVID vaccine mRNA-1273 prior to its full approval, announced 1/31/2022. The…

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…

q-bio.QM2022

Misleading assertions, unjustified assumptions, and additional limitations of a study by Patone et al., described in the article "Risk of Myocarditis After Sequential Doses of COVID-19 Vaccine and SARS-CoV-2 Infection by Age and Sex"

Paul S. Bourdon, Spiro Pantazatos

We describe several shortcomings of a study by Patone et al, whose findings were recently published in the American Heart Association Journal Circulation, including the following:…

math.FA2022★ 1 cited

Powers of posinormal Hilbert-space operators

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

A bounded linear operator on a Hilbert space is posinormal if there exists a positive operator such that . We show that if is posinormal…

math.FA2022

Posinormal Composition Operators on

Paul S. Bourdon, Derek Thompson

A bounded linear operator on a Hilbert space is posinormal if there exists a positive operator such that . Posinormality of is equivalent to the inclu…