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Dynamics and spectrum of the Cesàro operator on C-infinity(R+)

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Dynamics and spectrum of the Cesàro operator on C-infinity(R+)

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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 2020-02-21T21:01:25Z
dc.date.available 2020-02-21T21:01:25Z
dc.date.issued 2016 es_ES
dc.identifier.issn 0026-9255 es_ES
dc.identifier.uri http://hdl.handle.net/10251/137579
dc.description.abstract [EN] The spectrum and point spectrum of the Cesaro averaging operator C acting on the Frechet space C-infinity(R+) of all C-infinity functions on the interval [0, infinity) are determined. We employ an approach via C-0-semigroup theory for linear operators. A spectral mapping theorem for the resolvent of a closed operator acting on a locally convex space is established; it constitutes a useful tool needed to establish the main result. The dynamical behaviour of C is also investigated. es_ES
dc.description.sponsorship The research of the first two authors was partially supported by the projects MTM2013-43540-P, GVA Prometeo II/2013/013 and GVA ACOMP/2015/186 (Spain). es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Monatshefte für Mathematik es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Cesaro operator es_ES
dc.subject Frechet space of smooth functions es_ES
dc.subject Spectrum es_ES
dc.subject Mean ergodic operator es_ES
dc.subject C-0-semigroup es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Dynamics and spectrum of the Cesàro operator on C-infinity(R+) es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00605-015-0863-z 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.relation.projectID info:eu-repo/grantAgreement/MINECO//MTM2013-43540-P/ES/METODOS DEL ANALISIS FUNCIONAL Y TEORIA DE OPERADORES/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/GVA//ACOMP%2F2015%2F186/ 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 Albanese, AA.; Bonet Solves, JA.; Ricker, WJ. (2016). Dynamics and spectrum of the Cesàro operator on C-infinity(R+). Monatshefte für Mathematik. 181:267-283. https://doi.org/10.1007/s00605-015-0863-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00605-015-0863-z es_ES
dc.description.upvformatpinicio 267 es_ES
dc.description.upvformatpfin 283 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 181 es_ES
dc.relation.pasarela S\316582 es_ES
dc.contributor.funder Generalitat Valenciana es_ES
dc.contributor.funder Ministerio de Economía, Industria y Competitividad es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: Mean ergodic operators in Fréchet spaces. Ann. Acad. Sci. Fenn. Math. 34, 401–436 (2009) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: Mean ergodic semigroups of operators. Rev. R. Acad. Cien. Serie A Mat. RACSAM 106, 299–319 (2012) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: Montel resolvents and uniformly mean ergodic semigroups of linear operators. Quaest. Math. 36, 253–290 (2013) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: Convergence of arithmetic means of operators in Fréchet spaces. J. Math. Anal. Appl. 401, 160–173 (2013) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: Uniform mean ergodicity of $$C_0$$ C 0 -semigroups in a class of in Fréchet spaces. Funct. Approx. Comment. Math. 50, 307–349 (2014) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: On the continuous Cesàro operator in certain function spaces. Positivity 19, 659–679 (2015) es_ES
dc.description.references Albanese, A.A., Bonet, J., Ricker, W.J.: The Cesàro operator in the Fréchet spaces $$\ell ^{p+}$$ ℓ p + and $$L^{p-}$$ L p - . Glasgow Math. J. (accepted) es_ES
dc.description.references Arendt, W.: Gaussian estimates and interpolation of the spectrum in $$L^p$$ L p . Diff. Int. Equ. 7, 1153–1168 (1994) es_ES
dc.description.references Bayart, F., Matheron, E.: Dynamics of linear operators. Cambridge Tracts in Mathematics, vol. 179. Cambridge University Press, Cambridge (2009) es_ES
dc.description.references Boyd, D.W.: The spectrum of the Cesàro operator. Acta Sci. Math. (Szeged) 29, 31–34 (1968) es_ES
dc.description.references Grosse-Erdmann, K.G., Manguillot, A.P.: Linear chaos. Universitext, Springer Verlag, London (2011) es_ES
dc.description.references Hille, E.: Remarks on ergodic theorems. Trans. Am. Math. Soc. 57, 246–269 (1945) es_ES
dc.description.references Jarchow, H.: Locally convex spaces. Teubner, Stuttgart (1981) es_ES
dc.description.references Komura, T.: Semigroups of operators in locally convex spaces. J. Funct. Anal. 2, 258–296 (1968) es_ES
dc.description.references Lin, M.: On the uniform ergodic theorem. Proc. Am. Math. Soc. 43, 337–340 (1974) es_ES
dc.description.references Malgrange, B.: Idéaux de fonctions différentiables et division des distributions. Distributions, Editions École Polytechnique, Palaiseau, pp. 1–21 (2003) es_ES
dc.description.references Meise, R., Vogt, D.: Introduction to functional analysis. Oxford Graduate Texts in Mathematics, vol. 2. The Clarendon Press. Oxford University Press, New York (1997) es_ES
dc.description.references Seeley, R.T.: Extension of $$C^\infty $$ C ∞ functions defined in a half space. Proc. Am. Math. Soc. 15, 625–626 (1964) es_ES
dc.description.references Siskakis, A.G.: Composition semigroups and the Cesàro operator. J. London Math. Soc. (2) 36, 153–164 (1987) es_ES
dc.description.references Yosida, K.: Functional analysis. Springer, New York, Berlin, Heidelberg (1980) es_ES
dc.description.references Valdivia, M.: Topics in locally convex spaces. North-Holland Math. Stud. 67, North-Holland, Amsterdam (1982) es_ES


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