The indicator function of a measurable set is McShane integrable with respect to any
f is a.e. equal to zero on a rectangular box, then it has McShane integral zero on this
f has integral
y on a box
I with respect to a locally finite measure
a.e. equal to
g has the same integral on
A simple function is McShane integrable w.r.t. any locally finite measure.
f : ℝⁿ → E is Bochner integrable w.r.t. a locally finite measure
μ on a rectangular box
I, then it is McShane integrable on
I with the same integral.