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Article

Khaing, Khaing Aye ; Lee, Peng Yee
Orthogonally additive functionals on $BV$. (English). Mathematica Bohemica, vol. 129 (2004), issue 4, pp. 411-419
MSC: 26A39, 26A42, 26A45, 46A70, 46E99 | MR 2102614 | Zbl 1080.46506 | DOI: 10.21136/MB.2004.134042
Keywords:
functional; orthogonally additive functional; two-norm space; function of bounded variation; Henstock integral; Stieltjes integral
Summary:
In this paper we give a representation theorem for the orthogonally additive functionals on the space $BV$ in terms of a non-linear integral of the Henstock-Kurzweil-Stieltjes type.
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