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Characterizing Fréchet-Schwartz spaces via power bounded operators

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Characterizing Fréchet-Schwartz spaces via power bounded operators

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Albanese, AA.; Bonet Solves, JA.; Ricker, WJ. (2014). Characterizing Fréchet-Schwartz spaces via power bounded operators. Studia Mathematica. 224(1):25-45. doi:10.4064/sm224-1-2

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/60383

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Title: Characterizing Fréchet-Schwartz spaces via power bounded operators
Author:
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Issued date:
Abstract:
[EN] We characterize Köthe echelon spaces (and, more generally, those Fréchet spaces with an unconditional basis) which are Schwartz, in terms of the convergence of the Cesàro means of power bounded operators defined on ...[+]
Subjects: Power bounded operator , Mean ergodic operator , Fréchet-Schwartz space , Köthe echelon space , Schauder decomposition , Rapid convergence
Copyrigths: Reserva de todos los derechos
Source:
Studia Mathematica. (issn: 0039-3223 ) (eissn: 1730-6337 )
DOI: 10.4064/sm224-1-2
Publisher:
Polskiej Akademii Nauk, Instytut Matematyczny (Polish Academy of Sciences, Institute of Mathematics)
Publisher version: http://dx.doi.org/10.4064/sm224-1-2
Thanks:
The research of the first two authors was partially supported by the projects MTM2010-15200 and GVA Prometeo II/2013/013 (Spain). The second author gratefully acknowledges the support of the Alexander von Humboldt Foundation.[+]
Type: Artículo

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