Proceedings of the American Mathematical Society

Author(s): Fernando Bombal; Ignacio Villanueva
Journal: Proc. Amer. Math. Soc. 129 (2001), 1359-1363.
MSC (1991): Primary 46B28, 47B07
Posted: October 20, 2000
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In this paper we characterize those compact Hausdorff spaces

such that $C(K)\hat{\otimes}C(K)$ (and $C(K)\hat{\otimes}_s C(K)$ ) have the Dunford-Pettis Property, answering thus in the negative a question posed by Castillo and González who asked if $\ell_{\infty}\hat{\otimes}\ell_{\infty}$ and $C[0,1]\hat{\otimes}C[0, 1]$ have this property.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 46B28, 47B07

Fernando Bombal
Affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain
Email: bombal@eucmax.sim.ucm.es

Ignacio Villanueva
Affiliation: Departamento de Análisis Matemático, Facultad de Matemáticas, Universidad Complutense de Madrid, Madrid 28040, Spain
Email: ignacio_villanueva@mat.ucm.es

DOI: 10.1090/S0002-9939-00-05662-8
PII: S 0002-9939(00)05662-8
Keywords: Dunford-Pettis property, spaces of continuous functions, projective tensor product
Received by editor(s): February 2, 1999
Received by editor(s) in revised form: July 20, 1999
Posted: October 20, 2000
Additional Notes: Both authors were partially supported by DGICYT grant PB97-0240.
Communicated by: Dale Alspach
Copyright of article: Copyright 2000, American Mathematical Society

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