Spectra of composition operators on Fock-type spaces

Abstract

This work is a continuation of our recent investigation in [15] where we characterized various topological and dynamical properties of the composition operator Cψ acting between Fock-type spaces and when both exponents p and q are finite. Now we investigate the structures when at least one of the spaces is growth type and determine the spectrum of the operator Cψ on all the Banach spaces . The results about boundenness of Cψ offer an interesting trichotomized insight into structures of the symbol ψ. Some of the resuts obtained are also new on the corresponding classical Fock spaces.