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Abstract:

In this paper we give general conditions on a countable family V of weights on an unbounded open set U in a complex Banach space X such that the weighted space H V (U) of holomorphic functions on U has a Fréchet algebra structure. For such weights it is shown that the spectrum of H V (U) has a natural analytic manifold structure when X is a symmetrically regular Banach space, and in particular when X = Cn. © 2009 Elsevier Ltd. All rights reserved.

Registro:

Documento: Artículo
Título:A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions
Autor:Carando, D.; García, D.; Maestre, M.; Sevilla-Peris, P.
Filiación:Dep. Matemática, Fac. C. Exactas y Naturales, Universidad de Buenos Aires, Pab I, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjasot, Valencia, Spain
Instituto Universitario de Matemática Pura y Aplicada, DMA, ETSMRE, Av. Blasco Ibáñez, 21, E-46010 Valencia, Spain
Palabras clave:Analytic manifold structure; Fréchet algebra; Symmetrically regular Banach space; Weighted space of holomorphic functions
Año:2009
Volumen:48
Número:2-4
Página de inicio:54
Página de fin:65
DOI: http://dx.doi.org/10.1016/j.top.2009.11.003
Título revista:Topology
Título revista abreviado:Topology
ISSN:00409383
CODEN:TPLGA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00409383_v48_n2-4_p54_Carando

Referencias:

  • Berenstein, C.A., Li, B.Q., Vidras, A., Geometric characterization of interpolating varieties for the (FN)-space Ap0 of entire functions (1995) Canad. J. Math., 47 (1), pp. 28-43
  • Braun, R.W., Weighted algebras of entire functions in which each closed ideal admits two algebraic generators (1987) Michigan Math. J., 34 (3), pp. 441-450
  • Meise, R., Taylor, B.A., Sequence space representations for (FN)-algebras of entire functions modulo closed ideals (1987) Studia Math., 85 (3), pp. 203-227
  • Carando, D., Sevilla-Peris, P., Spectra of weighted algebras of holomorphic functions (2009) Math. Zeit., 263 (4), pp. 887-902
  • Gunning, R.C., (1990) The Wadsworth & Brooks/Cole Mathematics Series, , Wadsworth & Brooks/Cole Advanced Books & Software, Pacific Grove, CA
  • Aron, R.M., Galindo, P., García, D., Maestre, M., Regularity and algebras of analytic functions in infinite dimensions (1996) Trans. Amer. Math. Soc., 348 (2), pp. 543-559
  • Bierstedt, K.D., Bonet, J., Taskinen, J., Associated weights and spaces of holomorphic functions (1998) Studia Math., 127 (2), pp. 137-168
  • Bierstedt, K.D., Bonet, J., Galbis, A., Weighted spaces of holomorphic functions on balanced domains (1993) Michigan Math., 40, pp. 271-297
  • Bierstedt, K.D., Meise, R.G., Summers, W., A projective description of weighted inductive limits (1982) Trans. Amer. Math Soc., 272 (2), pp. 107-160
  • Bierstedt, K.D., Summers, W., Biduals of weighted Banach spaces of analytic functions (1993) J. Aust. Math. Soc. (Series A), 54 (2), pp. 70-79
  • Bonet, J., Domański, P., Lindström, M., Essential norm and weak compactness of composition operators on weighted spaces of analytic functions (1999) Canad. Math. Bull., 42 (2), pp. 139-148
  • Bonet, J., Domański, P., Lindström, M., Taskinen, J., Composition operators between weighted Banach spaces of analytic functions (1998) J. Aust. Math. Soc. (Series A), 64, pp. 101-118
  • Bonet, J., Friz, M., Weakly compact composition operators on locally convex spaces (2002) Math. Nachr., 24, pp. 26-44
  • Bonet, J., Friz, M., Jordá, E., Composition operators between weighted inductive limits of spaces of holomorphic functions (2005) Publ. Math. Debrecen, 67 (3-4), pp. 333-348
  • García, D., Maestre, M., Rueda, P., Weighted spaces of holomorphic functions on Banach spaces (2000) Studia Math., 138 (1), pp. 1-24
  • García, D., Maestre, M., Sevilla-Peris, P., Composition operators between weighted spaces of holomorphic functions on Banach spaces (2004) Ann. Acad. Sci. Fenn. Math., 29 (1), pp. 81-98
  • García, D., Maestre, M., Sevilla-Peris, P., Weakly compact composition operators between weighted spaces (2005) Note Mat., 25 (1), pp. 205-220
  • Dineen, S., (1999) Springer Monographs in Mathematics, , Springer-Verlag London Ltd., London
  • Carando, D., García, G., Maestre, M., Homomorphisms and composition operators on algebras of analytic functions of bounded type (2005) Advances in Mathematics, 197, pp. 607-629
  • Davie, A., Gamelin, T., A theorem on polynomial-star approximation (1989) Proc. Am. Math. Soc., 106 (2), pp. 351-356
  • Aron, R.M., Cole, B., Gamelin, T.W., Spectra of algebras of analytic functions on a Banach space (1991) J. Reine Angew. Math., 415, pp. 51-93
  • Fabian, M., Habala, P., Hájek, P., Montesinos Santalucía, V., Pelant, J., Zizler, V., (2001) CMS Books in Mathematics/Ouvrages de Mathématiques de la SMC, 8. , Springer, New York, NY

Citas:

---------- APA ----------
Carando, D., García, D., Maestre, M. & Sevilla-Peris, P. (2009) . A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions. Topology, 48(2-4), 54-65.
http://dx.doi.org/10.1016/j.top.2009.11.003
---------- CHICAGO ----------
Carando, D., García, D., Maestre, M., Sevilla-Peris, P. "A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions" . Topology 48, no. 2-4 (2009) : 54-65.
http://dx.doi.org/10.1016/j.top.2009.11.003
---------- MLA ----------
Carando, D., García, D., Maestre, M., Sevilla-Peris, P. "A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions" . Topology, vol. 48, no. 2-4, 2009, pp. 54-65.
http://dx.doi.org/10.1016/j.top.2009.11.003
---------- VANCOUVER ----------
Carando, D., García, D., Maestre, M., Sevilla-Peris, P. A Riemann manifold structure of the spectra of weighted algebras of holomorphic functions. Topology. 2009;48(2-4):54-65.
http://dx.doi.org/10.1016/j.top.2009.11.003