Article ID Journal Published Year Pages File Type
4591137 Journal of Functional Analysis 2010 17 Pages PDF
Abstract

Di Piazza and Preiss asked whether every Pettis integrable function defined on [0,1] and taking values in a weakly compactly generated Banach space is McShane integrable. In this paper we answer this question in the negative. Moreover, we give a counterexample where the target Banach space is reflexive.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory