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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

$C(K,A)$ and $C(K,H^{\infty })$ have
the Dunford-Pettis property


Authors: Manuel D. Contreras and Santiago Díaz
Journal: Proc. Amer. Math. Soc. 124 (1996), 3413-3416
MSC (1991): Primary 46E15, 46E40; Secondary 46B03, 46B25
MathSciNet review: 1340380
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Abstract: Denote by $X$ either the disc algebra $A$, or the space $H^{\infty }$ of bounded analytic functions on the disc, or any of their even duals. Then $C(K,X)$ has the Dunford-Pettis property.


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Additional Information

Manuel D. Contreras
Affiliation: E. S. Ingenieros Industriales, Avda. Reina Mercedes s/n, 41012-Sevilla, Spain
Email: contreras@cica.es

Santiago Díaz
Affiliation: E. S. Ingenieros Industriales, Avda. Reina Mercedes s/n, 41012-Sevilla, Spain
Email: madrigal@cica.es

DOI: http://dx.doi.org/10.1090/S0002-9939-96-03436-3
PII: S 0002-9939(96)03436-3
Keywords: Dunford-Pettis property, disc algebra, bounded analytic functions
Received by editor(s): January 6, 1995
Received by editor(s) in revised form: May 9, 1995
Additional Notes: This research has been partially supported by La Consejería de Educación y Ciencia de la Junta de Andalucía
Communicated by: Theodore W. Gamelin
Article copyright: © Copyright 1996 American Mathematical Society