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Article

Aye, Khaing Khaing ; Lee, Peng Yee
The dual of the space of functions of bounded variation. (English). Mathematica Bohemica, vol. 131 (2006), issue 1, pp. 1-9
MSC: 26A39, 26A42, 26A45, 46B26, 46E99 | MR 2210998 | Zbl 1112.26008 | DOI: 10.21136/MB.2006.134078
Keywords:
bounded variation; two-norm space; dual space; linear functional; Henstock integral; Stieltjes integral; regulated function
Summary:
In the paper, we show that the space of functions of bounded variation and the space of regulated functions are, in some sense, the dual space of each other, involving the Henstock-Kurzweil-Stieltjes integral.
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