On the Dunford-Pettis property of the tensor product of C(K) spaces

In this paper we characterize those compact Hausdorff spaces such that (and ) have the Dunford-Pettis Property, answering thus in the negative a question posed by Castillo and González who asked if and have this property.

Bibliographic Details
Authors: Villanueva Díez, Ignacio, Bombal Gordon, Fernando
Format: article
Publication Date:2001
Country:España
Institution:Universidad Complutense de Madrid (UCM)
Repository:Docta Complutense
Language:English
OAI Identifier:oai:docta.ucm.es:20.500.14352/56922
Online Access:https://hdl.handle.net/20.500.14352/56922
Access Level:Open access
Keyword:517
Dunford-Pettis property
Spaces of continuous functions
Projective tensor product
Análisis matemático
1202 Análisis y Análisis Funcional
Description
Summary:In this paper we characterize those compact Hausdorff spaces such that (and ) have the Dunford-Pettis Property, answering thus in the negative a question posed by Castillo and González who asked if and have this property.