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Berezin Ranges of Composition Operators on
Paul Bourdon, Trieu Le, Derek Thompson
We explore properties of the Berezin range of a composition operator on the Hardy space , including constraints on its location in the complex plane $\mathbb{C}…
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…
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…
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…
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…