Set valued integrability in non separable Fr\'echet spaces and applications
Functional Analysis
2015-07-28 v1
Abstract
We focus on measurability and integrability for set valued functions in non-necessarily separable Fr\'echet spaces. We prove some properties concerning the equivalence between different classes of measurable multifunctions. We also provide useful characterizations of Pettis set-valued integrability in the announced framework. Finally, we indicate applications to Volterra integral inclusions.
Keywords
Cite
@article{arxiv.1507.07349,
title = {Set valued integrability in non separable Fr\'echet spaces and applications},
author = {L. Di Piazza and V. Marraffa and B. Satco},
journal= {arXiv preprint arXiv:1507.07349},
year = {2015}
}