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A characterization of when C(K,E) is a Grothendieck space, for reflexive spaces E.

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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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