Publication Date:
2013-05-18
Description:
In this note, we look at the interdependences between James’ theorem and the boundary problem. To do so, we show a variant of James’ sup-theorem for C ( K )-spaces conjectured by Godefroy: in order to know that a bounded weakly closed subset of a C ( K )-space is weakly compact, it is enough to test the sup-attainment only for measures with countable support.
Print ISSN:
0033-5606
Electronic ISSN:
1464-3847
Topics:
Mathematics
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