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MATHEMATICA BOHEMICA, Vol. 129, No. 4, pp. 411-419 (2004)
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Orthogonally additive functionals on $BV$

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Khaing Aye Khaing, Peng Yee Lee

* Khaing Aye Khaing*, Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1, Nanyang Walk, Singapore 637616; Department of Engineering Mathematics, Yangon Technological University, Yangon, Myanmar, e-mail: ` khaing@ixna.com`; * Lee Peng Yee*, Mathematics and Mathematics Education, National Institute of Education, Nanyang Technological University, 1, Nanyang Walk, Singapore 637616, e-mail: ` pylee@nie.edu.sg`

**Abstract:** 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.

**Keywords:** functional, orthogonally additive functional, two-norm space, function of bounded variation, Henstock integral, Stieltjes integral

**Classification (MSC2000):** 46A70, 26A45, 26A39, 26A42

**Full text of the article:**

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