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.
Citation
Ondrej Hutník. "On vector-valued Dobrakov submeasures." Illinois J. Math. 55 (4) 1349 - 1366, Winter 2011. https://doi.org/10.1215/ijm/1373636687
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