Multifunctions determined by integrable functions
Functional Analysis
2020-02-18 v2
Abstract
Integral properties of multifunctions determined by vector valued functions are presented. Such multifunctions quite often serve as examples and counterexamples. In particular it can be observed that the properties of being integrable in the sense of Bochner, McShane or Birkhoff can be transferred to the generated multifunction while Henstock integrability does not guarantee it.
Cite
@article{arxiv.1906.07019,
title = {Multifunctions determined by integrable functions},
author = {D. Candeloro and L. Di Piazza and K. Musial and A. R. Sambucini},
journal= {arXiv preprint arXiv:1906.07019},
year = {2020}
}
Comments
12 pages. arXiv admin note: substantial text overlap with arXiv:1812.00597