Tom Carroll

Dynamics of weighted composition operators on the Fock space

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.