Cyclic Composition operators on Segal-Bargmann space

We study the cyclic, supercyclic and hypercyclic properties of a composition operator Cϕ on the Segal-Bargmann space ℋ(ℰ), where ϕ(z) = Az + b, A is a bounded linear operator on ℰ, b ∈ ℰ with ||A|| ⩽ 1 and A*b belongs to the range of (I – A*A)½. Specifically, under some conditions on the symbol ϕ w...

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Bibliographic Details
Main Authors: Ramesh G., Ranjan B. Sudip, Naidu D. Venku
Format: Article
Language:English
Published: De Gruyter 2022-11-01
Series:Concrete Operators
Subjects:
Online Access:https://doi.org/10.1515/conop-2022-0133