Spectra of composition operators on Paley-Wiener spaces and some consequences

Fuente: arXiv
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Autores principales: Álvarez, Carlos F., Severiano, O. R.
Formato: Preprint
Publicado: 2025
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author Álvarez, Carlos F.
Severiano, O. R.
author_facet Álvarez, Carlos F.
Severiano, O. R.
contents Bounded composition operators in Paley-Wiener spaces have simple forms, and they are just operators composed through affine mappings of the complex plane. The purpose of this article is to explore some notions about bounded operators and linear dynamics and provide complete answers for composition operators in Paley-Wiener spaces concerning compactness, spectrum, spectral radius, Li-Yorke chaos, positive expansivity, positive shadowing property, and absolute Cesàro boundedness.
format Preprint
id arxiv_https___arxiv_org_abs_2508_19975
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Spectra of composition operators on Paley-Wiener spaces and some consequences
Álvarez, Carlos F.
Severiano, O. R.
Functional Analysis
Bounded composition operators in Paley-Wiener spaces have simple forms, and they are just operators composed through affine mappings of the complex plane. The purpose of this article is to explore some notions about bounded operators and linear dynamics and provide complete answers for composition operators in Paley-Wiener spaces concerning compactness, spectrum, spectral radius, Li-Yorke chaos, positive expansivity, positive shadowing property, and absolute Cesàro boundedness.
title Spectra of composition operators on Paley-Wiener spaces and some consequences
topic Functional Analysis
url https://arxiv.org/abs/2508.19975