This is an announcement for the paper "Strong vector valued integrals" by Ralf Beckmann and Anton Deitmar.
Abstract: Strong Bochner type integrals with values in locally convex spaces are introduced. It is shown that the strong integral exists in the same cases as the weak (Gelfand-Pettis) integral is known to exist. The strong integral has better continuity properties that the weak integral.
Archive classification: math.FA
Submitted from: deitmar@uni-tuebingen.de
The paper may be downloaded from the archive by web browser from URL
http://front.math.ucdavis.edu/1102.1246
or