Bombal Gordón, Fernando and Cembranos Diaz, Pilar (1984) The Dieudonné property on C(K,E). Transactions of the American Mathematical Society, 285 (2). pp. 649-656. ISSN 0002-9947
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Official URL: http://www.ams.org/journals/tran/1984-285-02/S0002-9947-1984-0752496-9/S0002-9947-1984-0752496-9.pdf
Abstract
In this paper we prove that if E is a Banach space with separable dual, then the space C(K, E) of all continuous E-valued functions on a compact Haus-dorff topological space K has the Dieudonnep roperty.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | Vector-valued continuous functions; Dieudonn´e property; Banach space with separable dual; Radon Nikodym Property |
| Subjects: | Sciences > Mathematics > Mathematical analysis |
| ID Code: | 15179 |
| References: | J. Batt and E. J. Berg, Linear bounded transformations on the space of continuous functions, J. Funct. Anal. 4 (1969), 215-239. W. J. Davis, T. Figiel,W. B. Johnson and A. Pełczynski, Factoring weakly compact operators, J. Funct. Anal. 17 (1974), 311-327. J. Diestel and J. J. Uhl, Jr., Vector measures, Math. Surveys, No. 15, Amer. Math. Soc., Providence, R. I., 1977. I. Dobrakov, On representation of linear operators on C0(T,X), Czech. Math. J. 21 (96) (1971), 13-30. A. Grothendieck, Sur les applications lin´eaires faiblement compactes d’espaces du type C(K), Canad. J. Math. 5 (1953), 129-173. R. B. Holmes, Geometric functional analysis and its applications, Springer-Verlag, New York, 1975. J. Lindenstrauss and L. Tzafriri, Classical Banach spaces. I, Ergeb. Math. Grenzgeb., vol. 92, Springer-Verlag, Berlin, 1977. Z. Semadeni, Banach spaces of continuous functions, PWN,Warsaw, 1971. |
| Deposited On: | 10 May 2012 10:16 |
| Last Modified: | 14 Jan 2013 16:08 |
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