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Mean Ergodic Weighted Shifts on Kothe Echelon Spaces

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Mean Ergodic Weighted Shifts on Kothe Echelon Spaces

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dc.contributor.author Kalmes, Thomas es_ES
dc.contributor.author Santacreu-Ferrà, Daniel es_ES
dc.date.accessioned 2024-07-05T18:11:59Z
dc.date.available 2024-07-05T18:11:59Z
dc.date.issued 2023-10 es_ES
dc.identifier.issn 1422-6383 es_ES
dc.identifier.uri http://hdl.handle.net/10251/205812
dc.description.abstract [EN] Necessary and sufficient conditions are given for mean ergodicity, power boundedness, and topologizability for weighted backward shift and weighted forward shift operators, respectively, on Kothe echelon spaces in terms of the weight sequence and the Kothe matrix. These conditions are evaluated for the special case of power series spaces which allow for a characterization of said properties in many cases. In order to demonstrate the applicability of our conditions, we study the above properties for several classical operators on certain function spaces. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Results in Mathematics es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Mean ergodic operator es_ES
dc.subject Weighted shift operator es_ES
dc.subject Power bounded operator es_ES
dc.subject Kothe echelon space es_ES
dc.subject Power series space es_ES
dc.title Mean Ergodic Weighted Shifts on Kothe Echelon Spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00025-023-01951-1 es_ES
dc.rights.accessRights Abierto es_ES
dc.description.bibliographicCitation Kalmes, T.; Santacreu-Ferrà, D. (2023). Mean Ergodic Weighted Shifts on Kothe Echelon Spaces. Results in Mathematics. 78(5). https://doi.org/10.1007/s00025-023-01951-1 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00025-023-01951-1 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 78 es_ES
dc.description.issue 5 es_ES
dc.relation.pasarela S\521656 es_ES
dc.contributor.funder Universitat Politècnica de València es_ES


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