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The Cesàro operator in growth Banach spaces of analytic functions

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The Cesàro operator in growth Banach spaces of analytic functions

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dc.contributor.author Albanese, Angela es_ES
dc.contributor.author Bonet Solves, José Antonio es_ES
dc.contributor.author Ricker, Werner J. es_ES
dc.date.accessioned 2018-03-23T13:56:54Z
dc.date.available 2018-03-23T13:56:54Z
dc.date.issued 2016 es_ES
dc.identifier.issn 0378-620X es_ES
dc.identifier.uri http://hdl.handle.net/10251/99677
dc.description.abstract [EN] The CesA ro operator C, when acting in the classical growth Banach spaces and , for , of analytic functions on , is investigated. Based on a detailed knowledge of their spectra (due to A. Aleman and A.-M. Persson) we are able to determine the norms of these operators precisely. It is then possible to characterize the mean ergodic and related properties of C acting in these spaces. In addition, we determine the largest Banach space of analytic functions on which C maps into (resp. into ); this optimal domain space always contains (resp. ) as a proper subspace. es_ES
dc.description.sponsorship The research of the first two authors was partially supported by the projects MTM2013-43540-P and GVA Prometeo II/2013/013.
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Integral Equations and Operator Theory es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject Cesaaro operator es_ES
dc.subject Growth Banach space of analytic functions es_ES
dc.subject Mean ergodic operator es_ES
dc.subject Optimal domain es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title The Cesàro operator in growth Banach spaces of analytic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00020-016-2316-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.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, A.; Bonet Solves, JA.; Ricker, WJ. (2016). The Cesàro operator in growth Banach spaces of analytic functions. Integral Equations and Operator Theory. 86(1):97-112. https://doi.org/10.1007/s00020-016-2316-z es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion http://doi.org/10.1007/s00020-016-2316-z es_ES
dc.description.upvformatpinicio 97 es_ES
dc.description.upvformatpfin 112 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 86 es_ES
dc.description.issue 1 es_ES
dc.relation.pasarela S\327534 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.: 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.: The Cesàro operator on power series spaces. Preprint (2016) es_ES
dc.description.references Albrecht E., Miller T.L., Neumann M.M.: Spectral properties of generalized Cesàro operators on Hardy and weighted Bergman spaces. Archiv Math. 85, 446–459 (2005) es_ES
dc.description.references Aleman A.: A class of integral operators on spaces of analytic functions. In: Proc. of the Winter School in Operator Theory and Complex Analysis, Univ. Málaga Secr. Publ., Málaga, pp. 3–30 (2007) es_ES
dc.description.references Aleman A., Constantin O.: Spectra of integration operators on weighted Bergman spaces. J. Anal. Math. 109, 199–231 (2009) es_ES
dc.description.references Aleman A., Persson A.-M.: Resolvent estimates and decomposable extensions of generalized Cesàro operators. J. Funct. Anal. 258, 67–98 (2010) es_ES
dc.description.references Aleman A., Siskakis A.G.: An integral operator on H p . Complex Var. Theory Appl. 28, 149–158 (1995) es_ES
dc.description.references Aleman A., Siskakis A.G.: Integration operators on Bergman spaces. Indiana Univ. Math. J. 46, 337–356 (1997) es_ES
dc.description.references Bayart F., Matheron E.: Dynamics of Linear Operators. Cambridge University Press, Cambridge (2009) es_ES
dc.description.references Bierstedt K.D., Bonet J., Galbis A.: Weighted spaces of holomorphic functions on balanced domains. Michigan Math. J. 40, 271–297 (1993) es_ES
dc.description.references Bierstedt K.D., Bonet J., Taskinen J.: Associated weights and spaces of holomorphic functions. Studia Math. 127, 137–168 (1998) es_ES
dc.description.references Bierstedt, K.D., Summers, W.H.: Biduals of weighted Banach spaces of analytic functions. J. Aust. Math. Soc. 54, 70–79 (1993) es_ES
dc.description.references Bonet J., Domanski P., Lindström M.: Essential norm and weak compactness on weighted Banach spaces of analytic functions. Can. Math. Bull. 42, 139–148 (1999) es_ES
dc.description.references Curbera G.P., Ricker W.J.: Extensions of the classical Cesàro operator on Hardy spaces. Math. Scand. 108, 279–290 (2011) es_ES
dc.description.references Danikas N., Siskakis A.: The Cesàro operator on bounded analytic functions. Analysis 13, 295–299 (1993) es_ES
dc.description.references Duren P.: Theory of H p Spaces. Academic Press, New York (1970) es_ES
dc.description.references Dunford N., Schwartz J.T.:Linear Operators I: General Theory, 2nd Printing. Wiley Interscience Publ., New York (1964) es_ES
dc.description.references Grosse-Erdmann K., Peris A.: Linear Chaos. Springer, London (2011) es_ES
dc.description.references Harutyunyan A., Lusky W.: On the boundedness of the differentiation operator between weighted spaces of holomorphic functions. Studia Math. 184, 233–247 (2008) es_ES
dc.description.references Hedenmalm H., Korenblum B., Zhu K.: Theory of Bergman Spaces. Grad. Texts in Math., vol. 199. Springer, New York (2000) es_ES
dc.description.references Katzelson Y., Tzafriri L.: On power bounded operators. J. Funct. Anal. 68, 313–328 (1968) es_ES
dc.description.references Krengel U.: Ergodic Theorems. de Gruyter Studies in Mathematics, vol. 6. Walter de Gruyter Co., Berlin (1985) 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 Lusky W.: On the isomorphism classes of weighted spaces of harmonic and holomorphic functions. Studia Math. 175(1), 19–40 (2006) es_ES
dc.description.references Megginson R.E.: An Introduction to Banach Space Theory. Springer, New York (1998) es_ES
dc.description.references Meise R., Vogt D.: Introduction to Functional Analysis. Clarendon Press, Oxford (1997) es_ES
dc.description.references Persson A.-M.: On the spectrum of the Cesàro operator on spaces of analytic functions. J. Math. Anal. Appl. 340, 1180–1203 (2008) es_ES
dc.description.references Rubel L.A., Shields A.L.: The second dual of certain spaces of analytic functions. J. Aust. Math. Soc. 11, 276–280 (1970) es_ES
dc.description.references Shields A.L., Williams D.L.: Bounded projections, duality and multipliers in spaces of analytic functions. Trans. Am. Math. Soc. 162, 287–302 (1971) es_ES
dc.description.references Siskakis A.: Volterra operators on spaces of analytic functions—a survey. In: Proc. of the First Advanced Course in Operator Theory and Complex Analysis, Univ. Sevilla Serc. Publ., Seville, pp. 51–68 (2006) es_ES


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