Universal Birkhoff intergrabIility in dual Banach spaces

Abstract

We show that some classical results on universal Pettis integrability in dual Banach spaces can be formulated in terms of the Birkhoff integral, thanks to the link between Birkhoff integrability and the Bourgain property
Keywords: Birkhoff integral; Pettis integral; Bourgain property

Quaestiones Mathematicae 28(2005), 525–536