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

 

Smoothness and weak$ \sp{\ast}$ sequential compactness


Authors: James Hagler and Francis Sullivan
Journal: Proc. Amer. Math. Soc. 78 (1980), 497-503
MSC: Primary 46B05
MathSciNet review: 556620
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Abstract: If a Banach space E has an equivalent smooth norm, then every bounded sequence in $ {E^\ast}$ has a $ {\text{weak}^\ast}$ converging subsequence. Generalizations of this result are obtained.


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Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1980-0556620-4
PII: S 0002-9939(1980)0556620-4
Article copyright: © Copyright 1980 American Mathematical Society