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The dual of a Gâteaux smooth Banach space is weak star fragmentable

Author: N. K. Ribarska
Journal: Proc. Amer. Math. Soc. 114 (1992), 1003-1008
MSC: Primary 46B22
MathSciNet review: 1101992
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Abstract: The techniques of Preiss-Phelps-Namioka is used to prove that if a Banach space $ E$ admits a Gâteaux smooth norm then its dual $ {E^*}$, endowed the weak star topology, is fragmentable.

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Keywords: Weak Asplund spaces, fragmentability
Article copyright: © Copyright 1992 American Mathematical Society

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