A cnaracteriation of variationally mcshane integrable banach-space valued functions

摘要

In [5] D.H. Fremlin studies, in a σ-finite outer regular quasi - Radon measure space, a method of integration of vector - valued functions which is an essential generalization of the McShane process of integration [8]. The method involves infinite McShane partitions by disjoint families of measurable sets of finite measure. For this integral Henstock's lemma no longer holds.