RICKER , Werner J.

Let ν be a vector measure with values in a Banach space Z. The integration map Iν:L1(ν)→Z, given by f↦∫fdν for f ∈ L 1(ν), always has a formal extension to its bidual operator I∗∗ν:L1(ν)∗∗→Z∗∗. So, we may consider the "integral" of any element f ** of L 1(ν)** as I **ν(f **). Our aim is to identify when these integrals lie in more tractable...