This is an announcement for the paper "In which spaces every curve is Lebesgue-Pettis-integrable?" by Heinrich von Weizsacker.
Abstract: In a real locally convex Hausdorff space the closed convex hull of every metrizable compact set is compact if (and only if) every continuous curve has a Pettis integral with respect to Lebesgue measure. For such spaces there is a natural concept of Bochner integrals.
Archive classification: math.FA
Mathematics Subject Classification: 46G10
Submitted from: weizsaecker@mathematik.uni-kl.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1207.6034
or