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Uniform Convergence and Spectra of Operators ina Class of Fréchet Spaces

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Uniform Convergence and Spectra of Operators ina Class of Fréchet Spaces

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dc.contributor.author Albanese, Angela A. es_ES
dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Ricker, Werner J. es_ES
dc.date.accessioned 2014-09-29T07:21:28Z
dc.date.available 2014-09-29T07:21:28Z
dc.date.issued 2014
dc.identifier.issn 1085-3375
dc.identifier.uri http://hdl.handle.net/10251/40372
dc.description.abstract Well-known Banach space results (e.g., due to J. Koliha and Y. Katznelson/L. Tzafriri), which relate conditions on the spectrum of a bounded operator T to the operator norm convergence of certain sequences of operators generated by T, are extended to the class of quojection Fr¿echet spaces.These results are then applied to establish various mean ergodic theorems for continuous operators acting in such Fr¿echet spaces and which belong to certain operator ideals, for example, compact, weakly compact, and Montel. es_ES
dc.description.sponsorship 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. en_EN
dc.language Español es_ES
dc.publisher Hindawi Publishing Corporation es_ES
dc.relation.ispartof Abstract and Applied Analysis es_ES
dc.rights Reconocimiento (by) es_ES
dc.subject Nuclear hothe quotients es_ES
dc.subject Mean ergodic operators es_ES
dc.subject Theorem es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Uniform Convergence and Spectra of Operators ina Class of Fréchet Spaces es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1155/2014/179027
dc.relation.projectID info:eu-repo/grantAgreement/MICINN//MTM2010-15200/ES/METODOS DE ANALISIS FUNCIONAL PARA EL ANALISIS MATEMATICO/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//PROMETEOII%2F2013%2F013/ES/Análisis funcional, teoría de operadores y sus aplicaciones (AFUNTOP)/ es_ES
dc.rights.accessRights Abierto es_ES
dc.contributor.affiliation Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada es_ES
dc.contributor.affiliation Universitat Politècnica de València. Instituto Universitario de Matemática Pura y Aplicada - Institut Universitari de Matemàtica Pura i Aplicada es_ES
dc.description.bibliographicCitation Albanese, AA.; Bonet Solves, JA.; Ricker, WJ. (2014). Uniform Convergence and Spectra of Operators ina Class of Fréchet Spaces. Abstract and Applied Analysis. 2014:1-16. https://doi.org/10.1155/2014/179027 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://dx.doi.org/10.1155/2014/179027 es_ES
dc.description.upvformatpinicio 1 es_ES
dc.description.upvformatpfin 16 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 2014 es_ES
dc.relation.senia 257670
dc.contributor.funder Ministerio de Ciencia e Innovación es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Alexander von Humboldt Foundation es_ES
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