Strong vector valued integrals
Functional Analysis
2015-02-11 v2
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.
Keywords
Cite
@article{arxiv.1102.1246,
title = {Strong vector valued integrals},
author = {Ralf Beckmann and Anton Deitmar},
journal= {arXiv preprint arXiv:1102.1246},
year = {2015}
}
Comments
The paper has been withdrawn, as it has become part of the paper: Two applications of nets, http://arxiv.org/abs/1403.3207