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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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$C(K,A)$ and $C(K,H^{\infty })$ have the Dunford-Pettis property
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by Manuel D. Contreras and Santiago Díaz PDF
Proc. Amer. Math. Soc. 124 (1996), 3413-3416 Request permission

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
  • MR Author ID: 335888
  • Email: contreras@cica.es
  • Santiago Díaz
  • Affiliation: E. S. Ingenieros Industriales, Avda. Reina Mercedes s/n, 41012-Sevilla, Spain
  • MR Author ID: 310764
  • Email: madrigal@cica.es
  • 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
  • © Copyright 1996 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 124 (1996), 3413-3416
  • MSC (1991): Primary 46E15, 46E40; Secondary 46B03, 46B25
  • DOI: https://doi.org/10.1090/S0002-9939-96-03436-3
  • MathSciNet review: 1340380