On vector-valued Dobrakov submeasures
Functional Analysis
2013-09-24 v1
Abstract
Ivan Dobrakov has initiated a theory of non-additive set functions defined on a ring of sets intended to be a non-additive generalization of the theory of finite non-negative countably additive measures. These set functions are now known as the Dobrakov submeasures. In this paper we extend Dobrakov's considerations to vector-valued submeasures defined on a ring of sets. The extension of such submeasures in the sense of Drewnowski is also given.
Cite
@article{arxiv.1101.4704,
title = {On vector-valued Dobrakov submeasures},
author = {Ondrej Hutník},
journal= {arXiv preprint arXiv:1101.4704},
year = {2013}
}
Comments
17 pages