Jaramillo Aguado, Jesús Ángel and Prieto Yerro, M. Ángeles and Zalduendo, Ignacio (0122) The bidual of the space of polynomials on a Banach space. Mathematical Proceedings of the Cambridge Philosophical Society, 122 (3). pp. 457-471. ISSN 0305-0041
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Official URL: http://journals.cambridge.org/abstract_S0305004197001898
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Spaces of homogeneous polynomials; reflexivity; Borel transform; Aron-Berner extension map |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 16743 |
| References: | R. Alencar. Multilinear mappings of nuclear and integral type. Proc. Amer. Math. Soc. 94 (1985), 33-38. R.Alencar, R. Aron and S. Dineen. A re¯exive space of holomorphic functions in infinitely many variables. Proc. Amer. Math. Soc. 90 (1984), 407-411. R. Aron and P. Berner. A Hahn±Banach extension theorem for analytic mappings. Bull. Soc. Math. France 106 (1978), 3-24. R. Aron and S. Dineen. Q-reflexive Banach spaces. Rocky Mountain J. math., to appear. R. Aron, L. Moraes and R. Ryan. Factorization of holomorphic mappings in infinite dimensions. Math. Ann. 277 (1987), 617-628. R. Aron and J. Prolla. Polynomial approximation of differentiable functions on Banach spaces. J. reine angew. Math. 313 (1980), 195-216. R.Aron and M. Schottenloher. Compact holomorphic mappings on Banach spaces and the approximation property. J. Funct. Anal. 21 (1976), 7-30. B. Beauzamy. Introduction to Banach spaces and their geometry. Notas de Matemática, 68 (North Holland, 1982). T. Carne, B. Cole and T. Gamelin. A uniform algebra of analytic functions on a Banach space. Trans. Amer. Math. Soc. 314 (1989), 639-659. A.Davie and T. Gamelin. A theorem on polynomial-star approximation. Proc. Amer. Math. Soc. 106 (1989), 351-356. J.Diestel and J. Uhl. Vector measures. Math. Surveys, vol. 15 (A.M.S., 1977). S.Dineen. Holomorphy types on Banach spaces. Studia Math. 39 (1971), 240-288. J. Farmer. Polynomial reflexivity in Banach spaces. Isr. J. Math. 87 (1994), 257-273. M. Gonza!lez. Remarks on Q-reflexive Banach spaces. Proc. R. Irish Acad. 96A (1996), 195-201. R.Gonzalo. Suavidad y polinomios en espacios de Banach, Ph.D. thesis, Univ. Complutense de Madrid, 1994. R. Gonzalo and J. A. Jaramillo. Compact polynomials between Banach spaces. Proc. R. Irish Acad. 95A (1995), 213-226. C. Gupta. Malgrange theorem for nuclearly entire functions of bounded type on a Banach space, Ph.D. thesis, I.M.P.A., Rio de Janeiro and University of Rochester, 1966. J. A. Jaramillo and A. Prieto. Weak polynomial convergence on a Banach space. Proc. Amer. Math. Soc. 118 (1993), 463-468. J.Mujica. Linearization of bounded holomorphic mappings on Banach spaces. Trans. Amer. Math. Soc. 324 (2) (1991), 867-887. A. Pelczynski. A property of multilinear operations. Studia math. 16 (1957), 173-182. R.Ryan. Applications of topological tensor spaces to in®nite dimensional holomorphy, Ph.D. thesis, University College, Dublin, 1980. M.Valdivia. Banach spaces of polynomials without copies of l". Proc. Amer. Math. Soc. 123 (10) (1995), 3143-3150. I.Zalduendo. A canonical extension for analytic functions on Banach spaces. Trans. Amer.Math. Soc. 320 (2) (1990), 747-763 |
| Deposited On: | 18 Oct 2012 12:36 |
| Last Modified: | 18 Oct 2012 12:36 |
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