A note on the spectrum of composition operators on spaces of real analytic functions
Jos\'e Bonet, Pawe{\l} Doma\'nski
TL;DR
This paper investigates the spectrum of composition operators on real analytic function spaces, providing complete determinations in some cases and estimates in others.
Contribution
It offers new insights into the spectral properties of composition operators on real analytic functions, with some cases fully characterized and others bounded.
Findings
Spectrum fully determined in certain cases
Spectrum estimated in other cases
Advances understanding of composition operators on real analytic spaces
Abstract
In this paper the spectrum of composition operators on the space of real analytic functions is investigated. In some cases it is completely determined while in some other cases it is only estimated.
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