A conjecture of Godefroy concerning James' theorem
classification
🧮 math.FA
keywords
jamesgodefroytheoremweaklyboundaryboundedclosedcompact
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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.
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