A conjecture of Godefroy concerning James' theorem
Functional Analysis
2012-01-27 v1
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.
Keywords
Cite
@article{arxiv.1201.5471,
title = {A conjecture of Godefroy concerning James' theorem},
author = {Hermann Pfitzner},
journal= {arXiv preprint arXiv:1201.5471},
year = {2012}
}
Comments
to appear in Quarterly Journal of Math