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On the Kurzweil-Stieltjes integral in ordered spaces. (English) Zbl 0918.28013
Summary: The paper is in some sense an extension of some results of C. Debiève and M. Duchoň in the following three directions. First, lattice ordered groups are considered instead of Riesz spaces. Second, instead of operator valued functions a biadditive operator is considered. Third, instead of Riemann-Stieltjes theory the Henstock-Kurzweil construction of the integral can be used, so that a larger class of functions can be taken.

28B15 Set functions, measures and integrals with values in ordered spaces
26A39 Denjoy and Perron integrals, other special integrals