Resolvent growth condition for the composition operator on the Fock space
Peer reviewed, Journal article
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OriginalversjonMengestie, T. (2020). Resolvent growth condition for composition operators on the Fock space. Annals of Functional Analysis. 10.1007/s43034-020-00059-9
For each analytic map ψ on the complex plane C, we study the Ritt’s resolvent growth condition for the composition operator Cψ:f→f∘ψ on the Fock space F2. We show that Cψ satisfies such a condition if and only if it is either compact or reduces to the identity operator. As a consequence, it is shown that the Ritt’s resolvent condition and the unconditional Ritt’s condition for Cψ are equivalent.