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math.FA2019
Weighted composition operators: isometries and asymptotic behaviour
I. Chalendar, J. R. Partington
This paper studies the behaviour of iterates of weighted composition operators acting on spaces of analytic functions, with particular emphasis on the Hardy space . Questions…
math.FA2019
A Beurling Theorem for almost-invariant subspaces of the shift operator
Isabelle Chalendar, Eva A. Gallardo-Gutiérrez, Jonathan R. Partington
A complete characterization of nearly-invariant subspaces of finite defect for the backward shift operator acting on the Hardy space is provided in the spirit of Hitt and Sarason's…