The paper is in some sense an extension of some results of
C. \name{Debi\`eve} and M. \name{Ducho\v n} in the following
three directions. Firstly lattice ordered groups are
considered instead of Riesz spaces. Second, instead of
operator valued functions a biadditive operator is
considered. Third, instead of Riemann--Stieltjes theory the
Henstock--Kurzweil construction of the integral can be used,
so that a larger class of functions can be taken.
