Geodesic
The dual of the space of functions of bounded variation
Mathematica Bohemica, Tome 131 (2006) no. 1, pp. 1-9.

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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.
DOI : 10.21136/MB.2006.134078
Classification : 26A39, 26A42, 26A45, 46B26, 46E99
Keywords: bounded variation; two-norm space; dual space; linear functional; Henstock integral; Stieltjes integral; regulated function 
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Aye, Khaing Khaing; Lee, Peng Yee. The dual of the space of functions of bounded variation. Mathematica Bohemica, Tome 131 (2006) no. 1, pp. 1-9. doi : 10.21136/MB.2006.134078. http://geodesic.mathdoc.fr/articles/10.21136/MB.2006.134078/

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