Introduction To The Dynamical Properties Of Toeplitz Operators On The Hardy Space Of The Unit Disc
Emmanuel Fricain (LPP), Ma\"eva Ostermann (LPP)
TL;DR
This paper provides accessible proofs of fundamental results on hypercyclic Toeplitz operators within the Hardy space of the unit disc, aimed at beginners and based on a mini-course from 2025.
Contribution
It offers detailed, beginner-friendly proofs of key hypercyclicity results for Toeplitz operators, filling a gap in accessible literature.
Findings
Proofs of the first two key hypercyclicity results
Clarification of properties of Toeplitz operators on Hardy space
Educational resource for newcomers to the topic
Abstract
These notes are based on a mini-course given at the ACOTCA conference 2025. The goal is to present full proofs of the first two key results regarding hypercyclic Toeplitz operators, in a way that is accessible to beginners.
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