[Banach] Abstract of a paper by Hermann Pfitzner

This is an announcement for the paper "A conjecture of Godefroy concerning James' theorem" by Hermann Pfitzner.

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.

Archive classification: math.FA

Remarks: to appear in Quarterly Journal of Math.

Submitted from: Hermann.Pfitzner@univ-orleans.fr

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1201.5471

or

http://arXiv.org/abs/1201.5471