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On the spectrum of isomorphisms defined on the space of smooth functions which are flat at 0

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On the spectrum of isomorphisms defined on the space of smooth functions which are flat at 0

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dc.contributor.author Jorda Mora, Enrique es_ES
dc.date.accessioned 2024-05-30T18:06:11Z
dc.date.available 2024-05-30T18:06:11Z
dc.date.issued 2023-07 es_ES
dc.identifier.issn 1578-7303 es_ES
dc.identifier.uri http://hdl.handle.net/10251/204558
dc.description.abstract [EN] In this note we study the spectrum and the Waelbroeck spectrum of the derivative operator composed with isomorphic multiplication operators defined in the space of smooth functions in [0, 1] which are flat at 0. es_ES
dc.description.sponsorship The author would like to thank J. Bonet for his careful reading of the preprint and the given suggestions which really improved the work. In particular, he observed and provided the arguments showing that some results stated for particular operators could be written in a very general and abstract way. These ideas leaded to Sect.~1.2. Also Example~3 given in this subsection was obtained in a joint discussion. Also it is worth to mention that L. Frerick suggested the representation of the space of flat functions given in Theorem~9 some time ago. My colleagues M. J. Beltran-Meneu and C. Fernandez made a helpful and careful revision of the preprint. The author also must thanks the referees for their careful analysis and the paper, and the given suggestions and remarks which certainly improved the paper. This research was supported by PID2020-119457GB-I00 and GVA-AICO/2021/170. Funding: Open Access funding provided thanks to the CRUE-CSIC agreement with Springer Nature. es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Spectrum es_ES
dc.subject Volterra operator es_ES
dc.subject Differentiation operator es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title On the spectrum of isomorphisms defined on the space of smooth functions which are flat at 0 es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s13398-023-01433-7 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2020-119457GB-I00/ES/METODOS DEL ANALISIS FUNCIONAL PARA LA TEORIA DE OPERADORES Y EL ANALISIS TIEMPO-FRECUENCIA/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GENERALITAT VALENCIANA//AICO%2F2021%2F170//OPERADORES EN ESPACIOS DE FUNCIONES ANALITICAS O DIFERENCIABLES/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Escuela Politécnica Superior de Alcoy - Escola Politècnica Superior d'Alcoi es_ES
dc.description.bibliographicCitation Jorda Mora, E. (2023). On the spectrum of isomorphisms defined on the space of smooth functions which are flat at 0. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 117(3):1-10. https://doi.org/10.1007/s13398-023-01433-7 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s13398-023-01433-7 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 10 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 117 es_ES
dc.description.issue 3 es_ES
dc.relation.pasarela S\510562 es_ES
dc.contributor.funder GENERALITAT VALENCIANA es_ES
dc.contributor.funder AGENCIA ESTATAL DE INVESTIGACION es_ES
dc.contributor.funder Universitat Politècnica de València es_ES


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