## Smoothness and weak$^{\ast }$ sequential compactness

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- by James Hagler and Francis Sullivan
- Proc. Amer. Math. Soc.
**78**(1980), 497-503 - DOI: https://doi.org/10.1090/S0002-9939-1980-0556620-4
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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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## Bibliographic Information

- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc.
**78**(1980), 497-503 - MSC: Primary 46B05
- DOI: https://doi.org/10.1090/S0002-9939-1980-0556620-4
- MathSciNet review: 556620