The McShane integral in weakly compactly generated spaces
Functional Analysis
2014-06-30 v2 Probability
Abstract
Di Piazza and Preiss asked whether every Pettis integrable function defined on [0,1] and taking values in a weakly compactly generated Banach space is McShane integrable. In this paper we answer this question in the negative.
Cite
@article{arxiv.1001.4896,
title = {The McShane integral in weakly compactly generated spaces},
author = {Antonio Avilés and Grzegorz Plebanek and José Rodríguez},
journal= {arXiv preprint arXiv:1001.4896},
year = {2014}
}
Comments
Revised version. To appear in Journal of Functional Analysis