- -

Spectra of weighted algebras of holomorphic functions

RiuNet: Repositorio Institucional de la Universidad Politécnica de Valencia

Compartir/Enviar a

Citas

Estadísticas

  • Estadisticas de Uso

Spectra of weighted algebras of holomorphic functions

Mostrar el registro sencillo del ítem

Ficheros en el ítem

dc.contributor.author Carando, Daniel es_ES
dc.contributor.author Sevilla Peris, Pablo es_ES
dc.date.accessioned 2021-05-20T03:33:30Z
dc.date.available 2021-05-20T03:33:30Z
dc.date.issued 2009 es_ES
dc.identifier.issn 0025-5874 es_ES
dc.identifier.uri http://hdl.handle.net/10251/166527
dc.description.abstract [EN] We consider weighted algebras of holomorphic functions on a Banach space. We determine conditions on a family of weights that assure that the corresponding weighted space is an algebra or has polynomial Schauder decompositions. We study the spectra of weighted algebras and endow them with an analytic structure. We also deal with composition operators and algebra homomorphisms, in particular to investigate how their induced mappings act on the analytic structure of the spectrum. Moreover, a Banach¿Stone type question is addressed. es_ES
dc.description.sponsorship The rst author was supported by PIP 5272, UBACyT X108, PICT 05-33042 and PICT 06-00587. yThe second author was supported by the MECD Project MTM2005-08210 es_ES
dc.language Inglés es_ES
dc.publisher Springer-Verlag es_ES
dc.relation.ispartof Mathematische Zeitschrift es_ES
dc.rights Reserva de todos los derechos es_ES
dc.subject.classification MATEMATICA APLICADA es_ES
dc.title Spectra of weighted algebras of holomorphic functions es_ES
dc.type Artículo es_ES
dc.identifier.doi 10.1007/s00209-008-0444-0 es_ES
dc.relation.projectID info:eu-repo/grantAgreement/MEC//MTM2005-08210/ES/GEOMETRIA Y DIFERENCIACION EN ESPACIOS DE BANACH. HOLOMORFIA EN ESPACIOS DE BANACH DE DIMENSION FINITA E INFINITA./ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/UBA//X038/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANPCyT//PICT-2005-33042/AR/Holomorfia Infinito-dimensional/ es_ES
dc.relation.projectID info:eu-repo/grantAgreement/ANPCyT//PICT-2006-00587/ 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 Carando, D.; Sevilla Peris, P. (2009). Spectra of weighted algebras of holomorphic functions. Mathematische Zeitschrift. 263:887-902. https://doi.org/10.1007/s00209-008-0444-0 es_ES
dc.description.accrualMethod S es_ES
dc.relation.publisherversion https://doi.org/10.1007/s00209-008-0444-0 es_ES
dc.description.upvformatpinicio 887 es_ES
dc.description.upvformatpfin 902 es_ES
dc.type.version info:eu-repo/semantics/publishedVersion es_ES
dc.description.volume 263 es_ES
dc.relation.pasarela S\37805 es_ES
dc.contributor.funder Ministerio de Educación y Ciencia es_ES
dc.contributor.funder Universidad de Buenos Aires es_ES
dc.contributor.funder Agencia Nacional de Promoción Científica y Tecnológica, Argentina es_ES
dc.description.references Aron R.M., Berner P.D.: A Hahn–Banach extension theorem for analytic mappings. Bull. Soc. Math. Fr. 106, 3–24 (1978) es_ES
dc.description.references Aron R.M., Cole B., Gamelin T.W.: Spectra of algebras of analytic functions on a Banach space. J. Reine Angew. Math. 415, 51–93 (1991) es_ES
dc.description.references Aron R.M., Galindo P., García D., Maestre M.: Regularity and algebras of analytic functions in infinite dimensions. Trans. Am. Math. Soc. 348(2), 543–559 (1996) es_ES
dc.description.references Bierstedt K.D., Bonet J., Galbis A.: Weighted spaces of holomorphic functions on balanced domains. Mich. Math. 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(2), 137–168 (1998) es_ES
dc.description.references Boas R.P. Jr: Representations for entire functions of exponential type. Ann. Math. (2) 39(2), 269–286 (1938) es_ES
dc.description.references Boas R.P. Jr: Entire Functions. Academic Press, New York (1954) es_ES
dc.description.references Bonet, J.: Weighted spaces of holomorphic functions and operators between them. In: U. d. S. Secretariado de Publicaciones (ed.) Proceedings of the seminar of Mathematical Analysis (Univ. Málaga, Univ. Sevilla), pp. 117–138, Sevilla (2003) es_ES
dc.description.references Bonet J., Domański P., Lindström M.: Essential norm and weak compactness of composition operators on weighted spaces of analytic functions. Canad. Math. Bull. 42(2), 139–148 (1999) es_ES
dc.description.references Bonet J., Domański P., Lindström M., Taskinen J.: Composition operators between wighted Banach spaces of analytic functions. J. Austral. Math. Soc. (Ser. A) 64, 101–118 (1998) es_ES
dc.description.references Bonet J., Friz M.: Weakly compact composition operators on locally convex spaces. Math. Nachr. 245, 26–44 (2002) es_ES
dc.description.references Bonet J., Friz M., Jordá E.: Composition operators between weighted inductive limits of sapces of holomorphic functions. Publ. Math. Debrecen 67(3–4), 333–348 (2005) es_ES
dc.description.references Cabello Sánchez F., Castillo J.M.F., García R.: Polynomials on dual-isomorphic spaces. Ark. Mat. 38(1), 37–44 (2000) es_ES
dc.description.references Carando D., García D., Maestre M.: Homomorphisms and composition operators on algebras of analytic functions of bounded type. Adv. Math. 197(2), 607–629 (2005) es_ES
dc.description.references Carando D., Lassalle S.: E′ and its relation with vector-valued functions on E. Ark. Mat. 42(2), 283–300 (2004) es_ES
dc.description.references Davie A., Gamelin T.: A theorem on polynomial-star approximation. Proc. Am. Math. Soc. 106(2), 351–356 (1989) es_ES
dc.description.references Díaz J.C., Dineen S.: Polynomials on stable spaces. Ark. Mat. 36(1), 87–96 (1998) es_ES
dc.description.references Dineen S.: Complex Analysis on Infinite Dimensional Spaces. Springer, London (1999) es_ES
dc.description.references Galindo P., Maestre M., Rueda P.: Biduality in spaces of holomorphic functions. Math. Scand. 86(1), 5–16 (2000) es_ES
dc.description.references García D., Maestre M., Rueda P.: Weighted spaces of holomorphic functions on Banach spaces. Studia Math. 138(1), 1–24 (2000) es_ES
dc.description.references García D., Maestre M., Sevilla-Peris P.: Composition operators between weighted spaces of holomorphic functions on Banach spaces. Ann. Acad. Sci. Fenn. Math. 29, 81–98 (2004) es_ES
dc.description.references García D., Maestre M., Sevilla-Peris P.: Weakly compact composition operators between weighted spaces. Note Mat. 25(1), 205–220 (2005/06) es_ES
dc.description.references Garrido, M.I., Jaramillo, J.A.: Variations on the Banach–Stone theorem. Extracta Math. 17(3), 351–383. IV Course on Banach Spaces and Operators (Spanish) (Laredo, 2001) (2002) es_ES
dc.description.references Kalton N.J.: Schauder decompositions in locally convex spaces. Proc. Cambridge Philos. Soc. 68, 377–392 (1970) es_ES
dc.description.references Lassalle S., Zalduendo I.: To what extent does the dual Banach space E′ determine the polynomials over E?. Ark. Mat. 38(2), 343–354 (2000) es_ES
dc.description.references Oubbi L.: Weighted algebras of continuous functions. Results Math. 24(3–4), 298–307 (1993) es_ES
dc.description.references Vieira D.M.: Theorems of Banach–Stone type for algebras of holomorphic functions on infinite dimensional spaces. Math. Proc. R. Ir. Acad. 106A((1), 97–113 (2006) es_ES


Este ítem aparece en la(s) siguiente(s) colección(ones)

Mostrar el registro sencillo del ítem