Mostrar el registro sencillo del ítem
dc.contributor.author | Seyoum, Werkaferahu | es_ES |
dc.contributor.author | Mengestie, Tesfa | es_ES |
dc.contributor.author | Bonet Solves, José Antonio | es_ES |
dc.date.accessioned | 2021-03-01T08:10:05Z | |
dc.date.available | 2021-03-01T08:10:05Z | |
dc.date.issued | 2019-12-05 | es_ES |
dc.identifier.issn | 1578-7303 | es_ES |
dc.identifier.uri | http://hdl.handle.net/10251/162602 | |
dc.description.abstract | [EN] Every bounded composition operator C psi defined by an analytic symbol psi on the complex plane when acting on generalized Fock spaces F phi p,1 <= p <=infinity and p=0, is power bounded. Mean ergodic and uniformly mean ergodic bounded composition operators on these spaces are characterized in terms of the symbol. The behaviour for p=0 and p=infinity differs. The set of periodic points of these operators is also determined. | es_ES |
dc.description.sponsorship | The research of the first author is supported by ISP project, Addis Ababa University, Ethiopia. The research of the third author was partially supported by the research projects MTM2016-76647-P and GV Prometeo 2017/102 (Spain). | 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 | Reserva de todos los derechos | es_ES |
dc.subject | Composition operators | es_ES |
dc.subject | Generalized Fock spaces | es_ES |
dc.subject | Power bounded operator | es_ES |
dc.subject | Mean ergodic operator | es_ES |
dc.subject | Uniformly mean ergodic operator | es_ES |
dc.subject.classification | MATEMATICA APLICADA | es_ES |
dc.title | Mean ergodic composition operators on generalized Fock spaces | es_ES |
dc.type | Artículo | es_ES |
dc.identifier.doi | 10.1007/s13398-019-00738-w | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/MINECO//MTM2016-76647-P/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y ANALISIS TIEMPO-FRECUENCIA/ | es_ES |
dc.relation.projectID | info:eu-repo/grantAgreement/GVA//PROMETEO%2F2017%2F102/ES/ANALISIS FUNCIONAL, TEORIA DE OPERADORES Y APLICACIONES/ | 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.description.bibliographicCitation | Seyoum, W.; Mengestie, T.; Bonet Solves, JA. (2019). Mean ergodic composition operators on generalized Fock spaces. Revista de la Real Academia de Ciencias Exactas Físicas y Naturales Serie A Matemáticas. 114(1):1-11. https://doi.org/10.1007/s13398-019-00738-w | es_ES |
dc.description.accrualMethod | S | es_ES |
dc.relation.publisherversion | https://doi.org/10.1007/s13398-019-00738-w | es_ES |
dc.description.upvformatpinicio | 1 | es_ES |
dc.description.upvformatpfin | 11 | es_ES |
dc.type.version | info:eu-repo/semantics/publishedVersion | es_ES |
dc.description.volume | 114 | es_ES |
dc.description.issue | 1 | es_ES |
dc.relation.pasarela | S\405039 | es_ES |
dc.contributor.funder | Addis Ababa University | es_ES |
dc.contributor.funder | Generalitat Valenciana | es_ES |
dc.contributor.funder | Ministerio de Economía y Competitividad | es_ES |
dc.description.references | Albanese, A.A., Bonet, J., Ricker, W.J.: Mean ergodic operators in Fréchet spaces. Anal. Acad. Sci. Fenn. Math. 34, 401–436 (2009) | es_ES |
dc.description.references | Beltrán-Meneu, M.J., Gómez-Collado, M.C., Jordá, E., Jornet, D.: Mean ergodic composition operators on Banach spaces of holomorphic functions. J. Funct. Anal. 270, 4369–4385 (2016) | es_ES |
dc.description.references | Bierstedt, K.D., Summers, W.H.: Biduals of weighted Banach spaces of analytic functions. J. Austr. Math. Soc. Ser. A 54, 70–79 (1993) | es_ES |
dc.description.references | Blasco, O.: Boundedness of Volterra operators on spaces of entire functions. Ann. Acad. Sci. Fenn. Math. 43, 89–107 (2018) | es_ES |
dc.description.references | Bonet, J., Domański, P.: A note on mean ergodic composition operators on spaces of holomorphic functions. Rev. R. Acad. Cienc. Exactas Fís. Nat. Ser. A Mat. RACSAM 105, 389–396 (2011) | es_ES |
dc.description.references | Bonet, J., Mangino, E.: Associated weights for spaces of $$p$$-integrable entire functions. Quaestiones Math. (2019). https://doi.org/10.2989/16073606.2019.1605420 | es_ES |
dc.description.references | Bonet, J., Ricker, W.J.: Mean ergodicity of multiplication operators in weighted spaces of holomorphic functions. Arch. Math. 92, 428–437 (2009) | es_ES |
dc.description.references | Carswell, B.J., MacCluer, B.D., Schuster, A.: Composition operators on the Fock space. Acta Sci. Math. (Szeged) 69, 871–887 (2003) | es_ES |
dc.description.references | Constantin, O., Peláez, J.Á.: Integral operators, embedding theorems and a Littlewood-Paley formula on weighted Fock spaces. J. Geom. Anal. 26, 1109–1154 (2015) | es_ES |
dc.description.references | Cowen, C., MacCluer, B.: Composition Operators on Spaces of Analytic Functions. CRC Press, Boca Raton (1995) | es_ES |
dc.description.references | Dunford, N.: Spectral theory I convergence to projections. Trans. Am. Math. Soc. 54, 185–217 (1943) | es_ES |
dc.description.references | Guo, K., Izuchi, K.: Composition operators on Fock type space. Acta Sci. Math. (Szeged) 74, 807–828 (2008) | es_ES |
dc.description.references | Krengel, U.: Ergodic Theorems. Walter de Gruyter, Berlin (1985) | es_ES |
dc.description.references | Lotz, H.P.: Tauberian theorems for operators on $$L^1$$ and similar spaces. In: Bierstedt, K.D., Fuchssteiner, B. (eds.) Functional Analysis: Surveys and Recent Results III, pp. 117–133. North Holland, Amsterdam (1984) | es_ES |
dc.description.references | Lotz, H.P.: Uniform convergence of operators on $$ L^{\infty }$$ and similar spaces. Math. Z. 190, 207–220 (1985) | es_ES |
dc.description.references | Lusky, W.: On the isomophism classes of weighted spaces of harmonic and holomorphic functions. Studia Math. 175, 19–45 (2006) | es_ES |
dc.description.references | Mengestie, T., Ueki, S.: Integral, differential and multiplication operators on weighted Fock spaces. Complex Anal. Oper. Theory. 13, 935–958 (2019) | es_ES |
dc.description.references | Mengestie, T., Seyoum, W.: Topological and dynamical properties of composition operators. Complex Anal. Oper. Theory (2018) (to appear) | es_ES |
dc.description.references | Mengestie, T., Seyoum, W.: Spectral properties of composition operators on Fock-Type spaces. Quaest. Math. (2019). https://doi.org/10.2989/16073606.2019.1692092 | es_ES |
dc.description.references | Shapiro, J.H.: Composition Operators and Classical Function Theory. Springer, New York (1993) | es_ES |
dc.description.references | Wolf, E.: Power bounded composition operator. Comp. Method Funct. Theory 12, 105–117 (2012) | es_ES |
dc.description.references | Yosida, K.: Functional Analysis. Springer, Berlin (1978) | es_ES |
dc.description.references | Yosida, K., Kakutani, S.: Operator-theoretical treatment of Markoff’s Process and Mean Ergodic Theorem. Ann. Math. 42, 188–228 (1941) | es_ES |