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arXiv · 1201.5471

A conjecture of Godefroy concerning James' theorem

Hermann Pfitzner
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Abstract

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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Hermann Pfitzner. 2012-01-26. A conjecture of Godefroy concerning James' theorem. https://arxiv.org/abs/1201.5471

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