Dynamics of weighted composition operators on the Fock space
Analysis and Geometry Seminar
10th October 2019, 3:15 pm – 4:15 pm
Fry Building, 2.04
We aim to answer the question of whether weighted composition operators on the Fock space can be hypercyclic or supercyclic. A bounded operator on a Frechet space is hypercyclic if one of its orbits is dense in the space. It is supercyclic if one of its projective orbits is dense. A negative answer to our question depends on a more fine-tuned description of weighted composition operators in this setting.
This is joint work with Clifford Gilmore, IRC Government of Ireland Postdoctoral Fellow at UCC.