3 papers
math.FA2026
-Frequently Hypercyclic Operators
Tom Carroll, Clifford Gilmore
The concept of -frequent hypercyclicity is introduced in order to provide a refined form of frequent hypercyclicity. This is achieved by replacing the denominator in the defini…
math.FA2025
Approximation numbers of differences of composition operators
Frédéric Bayart, Clifford Gilmore, Sibel Sahin
In this study we consider the approximation numbers of differences of composition operators acting on the Hardy-Hilbert space H 2 (D). We obtain both upper and lower bounds for the…
math.CV2025
Interactions between Universal Composition Operators and Complex Dynamics
Vasiliki Evdoridou, Clifford Gilmore, Myrto Manolaki
This paper is concerned with universality properties of composition operators , where the symbol is given by a transcendental entire function restricted to parts of its Fa…