Integration by Means of Riemann Sums in Banach Spaces II

Abstract

The discussion of the $(\mu ,\mathcal{X})$-integral introduced in Part I is continued: We investigate the relationship of this integral to the Haupt-Aumann-Pauc integral, the Pettis integral and the Bochner integral. Furthermore, we deal with the representation of iterated integrals as limits of filtered families of iterated Riemann sums.