On a one-sided James' theorem

We provide a short proof of the following fact: If X is a Banach space, A and B are bounded, closed and convex sets with dist(A,B)>0 and every x⁎∈X⁎ with the property that sup⁡(x⁎,B)

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Bibliographic Details
Published in:Journal of mathematical analysis and applications 2017-05, Vol.449 (1), p.528-530
Main Author: Moors, Warren B.
Format: Article
Language:English
Subjects:
James' theorem
Weakly compact sets
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Description
Summary:We provide a short proof of the following fact: If X is a Banach space, A and B are bounded, closed and convex sets with dist(A,B)>0 and every x⁎∈X⁎ with the property that sup⁡(x⁎,B)
ISSN:0022-247X
1096-0813
DOI:10.1016/j.jmaa.2016.12.019