Complutense University Library

The bidual of the space of polynomials on a Banach space

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

[img] PDF
Restricted to Repository staff only until 2020.

343kB

Official URL: http://journals.cambridge.org/abstract_S0305004197001898

View download statistics for this eprint

==>>> Export to other formats


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 10:36
Last Modified:07 Feb 2014 09:35

Repository Staff Only: item control page