SOME NEW RESULTS IN NON-ADDITIVE MEASURE THEORY

TitleSOME NEW RESULTS IN NON-ADDITIVE MEASURE THEORY
Publication TypeJournal Article
Year of Publication2009
AuthorsCAVALIERE, PAOLA, DE LUCIA, PAOLO
Volume13
Issue4
Start Page535
Pagination11
Date Published2009
ISSN1083-2564
AMS28A12, 28A33
Abstract

We are concerned with a wide class of non-additive functions, namely quasi - triangular functions, defined on a Boolean ring and taking values into a topological space, where no algebraic structure is required. The aim of the paper is twofold. First we prove that in some sense this class is equivalent to that one of finitely additive functions valued into a topological Abelian group. Secondly we show that a Vitali-Hahn-Saks theorem holds for exhaustive elements of it.

URLhttp://www.acadsol.eu/en/articles/13/4/6.pdf
Refereed DesignationRefereed
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