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Abstract:

We study the relation between different spaces of vector-valued polynomials and analytic functions over dual-isomorphic Banach spaces. Under conditions of regularity on E and F, we show that the spaces of X-valued n-homogeneous polynomials and analytic functions of bounded type on E and F are isomorphic whenever X is a dual space. Also, we prove that many of the usual subspaces of polynomials and analytic functions on E and F are isomorphic without conditions on the involved spaces.

Registro:

Documento: Artículo
Título:E′ and its relation with vector-valued functions on E
Autor:Carando, D.; Lassalle, S.
Filiación:Depto. de Matematica y Ciencias, Universidad de San Andrés, Vito Dumas 284, (1644) Victoria, Argentina
Departamento de Matematica - Pab I, Fac. de Ciencias Exactas y Naturales, Universidad de Buenos Aires, (1428) Buenos Aires, Argentina
Año:2004
Volumen:42
Número:2
Página de inicio:283
Página de fin:300
DOI: http://dx.doi.org/10.1007/BF02385480
Título revista:Arkiv for Matematik
Título revista abreviado:Ark. Mat.
ISSN:00042080
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00042080_v42_n2_p283_Carando

Referencias:

  • Aron, R.M., Berner, P.D., A Hahn-Banach extension theorem for analytic mappings (1978) Bull. Soc. Math. France, 106, pp. 3-24
  • Aron, R.M., Dineen, S., Q-reflexive Banach spaces (1997) Rocky Mountain J. Math, 27, pp. 1009-1025
  • Aron, R.M., Hervés, C., Valdivia, M., Weakly continuous mappings on Banach spaces (1983) J. Funct. Anal., 52, pp. 189-204
  • Aron, R.M., Lindström, M., Ruess, W.M., Ryan, R., Uniform factorization for compact sets of operators (1999) Proc. Amer. Math. Soc., 127, pp. 1119-1125
  • Cabello Sánchez, F., Castillo, J.M.F., García, R., Polynomials on dual-isomorphic spaces (2000) Ark. Mat., 38, pp. 37-44
  • Carando, D., (1998) Extensión de Polinomios en Espacios de Banach, , Ph.D. thesis, Universidad de Buenos Aires, Buenos Aires
  • Carando, D., Extendible polynomials on Banach spaces (1999) J. Math. Anal. Appl., 233, pp. 359-372
  • Carando, D., Dimant, V., Duality in spaces of nuclear and integral polynomials (2000) J. Math. Anal. Appl., 241, pp. 107-121
  • Carando, D., Zalduendo, I., A Hahn-Banach theorem for integral polynomials (1999) Proc. Amer. Math. Soc., 127, pp. 241-250
  • Defant, A., Floret, K., (1993) Tensor Norms and Operators Ideals, 176. , North-Holland Math. Stud., North-Holland, Amsterdam
  • Díaz, J.C., Dineen, S., Polynomials on stable spaces (1998) Ark. Mat., 36, pp. 87-96
  • Diestel, J., Uhl Jr., J.J., (1977) Vector Measures, 15. , Mathematical Surveys, Amer. Math. Soc., Providence, RI
  • Dimant, V., Strongly p-summing multilinear operators (2003) J. Math. Anal. Appl., 278, pp. 182-193
  • Dimant, V., Galindo, P., Maestre, M., Zalduendo, I., Integral holomorphic functions (2004) Studia Math., 160, pp. 83-99
  • Dineen, S., (1999) Complex Analysis on Infinite-Dimensional Spaces, , Springer-Verlag, London
  • Galindo, P., García, D., Maestre, M., Mujica, J., Extension of multilinear mappings on Banach spaces (1994) Studia Math., 108, pp. 55-76
  • García, D., Maestre, M., Rueda, P., Weighted spaces of holomorphic functions on Banach spaces (2000) Studia Math., 138, pp. 1-24
  • González, M., Gutiérrez, J.M., Injective factorization of holomorphic mappings (1999) Proc. Amer. Math. Soc., 127, pp. 1715-1721
  • Jaramillo, J.A., Moraes, L.A., Duality and reflexivity in spaces of polynomials (2000) Arch. Math. (Basel), 74, pp. 282-293
  • Jaramillo, J.A., Prieto, A., Zalduendo, I., The bidual of the space of polynomials on a Banach space (1997) Math. Proc. Cambridge Philos. Soc., 122, pp. 457-471
  • Lassalle, S., (2001) Polinomios Sobre un Espacio de Banach y su Relación con el Dual, , Ph.D. thesis, Universidad de Buenos Aires, Buenos Aires
  • Lassalle, S., Zalduendo, I., To what extent does the dual Banach space É determine the polynomials over E? (2000) Ark. Mat., 38, pp. 343-354
  • Nicodemi, O., Homomorphisms of algebras of germs of holomorphic functions (1981) Functional Analysis, Holomorphy and Approximation Theory (Rio de Janeiro, 1978), 843, pp. 534-546. , Lecture Notes in Math., Springer-Verlag, Berlin-Heidelberg
  • Toma, E., (1993) Aplicacoes Holomorfas e Polinomios τ-Continuos, , Ph.D. thesis, Universidade Federal do Rio de Janeiro, Rio de Janeiro
  • Villanueva, I., Integral mappings between Banach spaces (2003) J. Math. Anal. Appl., 279, pp. 56-70
  • Zalduendo, I., (1998) Extending Polynomials - A Survey, , Publ. Dep. Análisis Mat., Univ. Complutense de Madrid, Madrid

Citas:

---------- APA ----------
Carando, D. & Lassalle, S. (2004) . E′ and its relation with vector-valued functions on E. Arkiv for Matematik, 42(2), 283-300.
http://dx.doi.org/10.1007/BF02385480
---------- CHICAGO ----------
Carando, D., Lassalle, S. "E′ and its relation with vector-valued functions on E" . Arkiv for Matematik 42, no. 2 (2004) : 283-300.
http://dx.doi.org/10.1007/BF02385480
---------- MLA ----------
Carando, D., Lassalle, S. "E′ and its relation with vector-valued functions on E" . Arkiv for Matematik, vol. 42, no. 2, 2004, pp. 283-300.
http://dx.doi.org/10.1007/BF02385480
---------- VANCOUVER ----------
Carando, D., Lassalle, S. E′ and its relation with vector-valued functions on E. Ark. Mat. 2004;42(2):283-300.
http://dx.doi.org/10.1007/BF02385480