Mean ergodic composition operators on spaces of smooth functions and distributions

Autor:	Thomas Kalmes, Daniel Santacreu
Rok vydání:	2022
Předmět:	Mathematics - Functional Analysis 47B33 47B38 47A35 Mathematics::Dynamical Systems Applied Mathematics General Mathematics FOS: Mathematics Functional Analysis (math.FA)
Zdroj:	Proceedings of the American Mathematical Society.
ISSN:	1088-6826 0002-9939
DOI:	10.1090/proc/15894
Popis:	We investigate (uniform) mean ergodicity of weighted composition operators on the space of smooth functions and the space of distributions, both over an open subset of the real line. Among other things, we prove that a composition operator with a real analytic diffeomorphic symbol is mean ergodic on the space of distributions if and only if it is periodic with period 2. Our results are based on a characterization of mean ergodicity in terms of Ces\`aro boundedness and a growth property of the orbits for operators on Montel spaces which is of independent interest. Comment: 13 pages
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::10c8d76d85e52483f6724cf3198f5ad9 https://doi.org/10.1090/proc/15894 Zobrazit plný text záznamu