Biblioteca de la Universidad Complutense de Madrid

On weakly compact operators on spaces of vector valued continuous functions

Impacto

Bombal Gordón, Fernando (1986) On weakly compact operators on spaces of vector valued continuous functions. Proceedings of the American Mathematical Society , 97 (1). pp. 93-96. ISSN 0002-9939

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URL Oficial: http://www.ams.org/journals/proc/1986-097-01/S0002-9939-1986-0831394-3/S0002-9939-1986-0831394-3.pdf




Resumen

Let K and S be compact Hausdorff spaces and 8 a continuous function from K onto S. Then for any Banach space E the map / -» / ° 9 isometrically embeds C(S, £) as a closed subspace of C(K, E). In this note we prove that when E' has the Radon-Nikodym property, every weakly compact operator on C(S, E) can be lifted to a weakly compact operator on C( K, E). As a consequence, we prove that the compact dispersed spaces K are characterized by the fact that C(K, E) has the Dunford-Pettis property whenever E has.


Tipo de documento:Artículo
Materias:Ciencias > Matemáticas > Análisis matemático
Código ID:15111
Referencias:

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Última Modificación:06 Feb 2014 10:16

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