Let T be a locally compact Hausdorff space and E a Banach space. Let K(T, E) be the set of all continuous E-valued functions on T with compact support. We consider the representation of the second dual of K(T, E) when K(T, E) is normed with the usual sup norm. We demonstrate that an operator in the second dual of K(T, E) is, in a certain sense, approximable by an integral when computed over a certain subset of the dual of K(T, E). © 1974.
Alò, R. A., & de Korvin, A. (1974). Approximate integration. Journal of Mathematical Analysis and Applications, 48(1), 127–138. https://doi.org/10.1016/0022-247X(74)90220-0