On vector-valued Dobrakov submeasures

Details On vector-valued Dobrakov submeasures On vector-valued Dobrakov submeasures

2011-01-25

arxiv.org/abs/1101.4704v1

Mathematics

Functional Analysis

17 pages

Scientific paper

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.

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