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The dual of the space of functions of bounded variation

Khaing Khaing Aye; Peng Yee Lee — 2006

Mathematica Bohemica

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.

Orthogonally additive functionals on $B V$

Khaing Aye Khaing; Peng Yee Lee — 2004

Mathematica Bohemica

In this paper we give a representation theorem for the orthogonally additive functionals on the space $B V$ in terms of a non-linear integral of the Henstock-Kurzweil-Stieltjes type.

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The dual of the space of functions of bounded variation

Orthogonally additive functionals on B V

Orthogonally additive functionals on $B V$