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Bounded convergence theorem for abstract Kurzweil-Stieltjes integral. (English) Zbl 1355.26008
The paper presents a proof of the bounded convergence theorem for the abstract Kurzweil-Stieltjes integral in Banach spaces. It is based on a theory of integration over elementary sets (which are finite unions of intervals), which is discussed in the first part of the work.

26A39 Denjoy and Perron integrals, other special integrals
28B05 Vector-valued set functions, measures and integrals
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