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Dynamics and spectra of composition operators on the Schwartz space

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Dynamics and spectra of composition operators on the Schwartz space

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Fernández Rosell, C.; Galbis Verdu, A.; Jorda Mora, E. (2018). Dynamics and spectra of composition operators on the Schwartz space. Journal of Functional Analysis. 274(12):3503-3530. https://doi.org/10.1016/j.jfa.2017.11.005

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/124315

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Title: Dynamics and spectra of composition operators on the Schwartz space
Author: FERNÁNDEZ ROSELL, CARMEN GALBIS VERDU, ANTONIO Jorda Mora, Enrique
UPV Unit: Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada
Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Issued date:
Abstract:
[EN] In this paper we study the dynamics of the composition operators defined in the Schwartz space of rapidly decreasing functions. We prove that such an operator is never supercyclic and, for monotonic symbols, it is ...[+]
Subjects: Space of rapidly decreasing functions , Mean ergodic composition operator , Power bounded operator , Spectrum
Copyrigths: Reserva de todos los derechos
Source:
Journal of Functional Analysis. (issn: 0022-1236 )
DOI: 10.1016/j.jfa.2017.11.005
Publisher:
Elsevier
Publisher version: https://doi.org/10.1016/j.jfa.2017.11.005
Project ID:
info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/
info:eu-repo/grantAgreement/GVA//AICO%2F2016%2F054/
info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/
info:eu-repo/grantAgreement/GVA//ACOMP%2F2015%2F186/
Thanks:
The present research was partially supported by the projects MTM2016-76647-P, ACOMP/2015/186, Prometeo/2017/102 of the Generalitat Valenciana (Spain). The third author was partially supported by GVA, Project AICO/2016/054.[+]
Type: Artículo

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