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Cembranos, Pilar (1981) A characterization of when C(K,E) is a Grothendieck space, for reflexive spaces E. In VIII Jornadas Luso-Espanholas de Matemática : Actas. Univ. Coimbra, Coimbra, pp. 79-82.
Abstract
Let C(K,E) be the vector space of all continuous functions on a compact Hausdorff space K with values in a reflexive Banach space E, endowed with the usual uniform norm. We prove in this paper that the Banach space C(K,E) is a Grothendieck space if and only if C(K,E) does not contain a complemented subspace isomorphic to c0
| Item Type: | Book Section |
|---|---|
| Additional Information: | Proceedings of the Eighth Portuguese-Spanish Conference on Mathematics, Vol. II (Coimbra, 1981) |
| Subjects: | Sciences > Mathematics > Functional analysis and Operator theory |
| ID Code: | 22580 |
| Deposited On: | 27 Aug 2013 06:48 |
| Last Modified: | 03 Mar 2016 14:38 |
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