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Convergence of arithmetic means of operators in Fréchet spaces

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Convergence of arithmetic means of operators in Fréchet spaces

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Albanese, AA.; Bonet Solves, JA.; Ricker, WJ. (2013). Convergence of arithmetic means of operators in Fréchet spaces. Journal of Mathematical Analysis and Applications. 401(1):160-173. https://doi.org/10.1016/j.jmaa.2012.11.060

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Title: Convergence of arithmetic means of operators in Fréchet spaces
Author: Albanese, Angela Ama Bonet Solves, José Antonio Ricker, Werner J.
UPV Unit: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
Every Köthe echelon Fréchet space XX that is Montel and not isomorphic to a countable product of copies of the scalar field admits a power bounded continuous linear operator TT such that I−TI−T does not have closed range, ...[+]
Subjects: Fréchet space , Köthe echelon space , Power bounded operator , Prequojection , Quojection , Uniformly mean ergodic operator , Equation , Spectrum , Banach-Spaces , Uniform ergodic theorem
Copyrigths: Reserva de todos los derechos
Source:
Journal of Mathematical Analysis and Applications. (issn: 0022-247X ) (eissn: 1096-0813 )
DOI: 10.1016/j.jmaa.2012.11.060
Publisher:
Elsevier
Publisher version: http://dx.doi.org/10.1016/j.jmaa.2012.11.060
Project ID:
info:eu-repo/grantAgreement/MEC//MTM2007-62643/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS COMPLEJO Y LAS ECUACIONES EN DERIVADAS PARCIALES/
info:eu-repo/grantAgreement/GVA//PROMETEO08%2F2008%2F101/ES/Análisis funcional, teoría de operadores y aplicaciones/
info:eu-repo/grantAgreement/GVA//ACOMP%2F2012%2F090/
Thanks:
The research of Jose Bonet was partially supported by MEC and FEDER Project MTM 2007-62643, GV Project Prometeo/2008/101 (Spain) and ACOMP/2012/090.
Type: Artículo

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