English

Atomicity related to non-additive integrability

Functional Analysis 2016-11-15 v1

Abstract

In this paper we present some results concerning Gould integrability of vector functions with respect to a monotone measure on finitely purely atomic measure spaces. As an application a Radon-Nikodym theorem in this setting is obtained.

Cite

@article{arxiv.1602.05330,
  title  = {Atomicity related to non-additive integrability},
  author = {Domenico Candeloro and Anca Croitoru and Alina GAvrilut and Anna Rita Sambucini},
  journal= {arXiv preprint arXiv:1602.05330},
  year   = {2016}
}

Comments

17 pages

R2 v1 2026-06-22T12:51:59.916Z