Universal Birkhoff integrability in dual Banach spaces

Original Articles

Universal Birkhoff integrability in dual Banach spaces

Published in: Quaestiones Mathematicae
Volume 28 , issue 4 , 2005 , pages: 525–536
DOI: 10.2989/16073600509486145
Author(s): José Rodríguez
Keywords: BIRKHOFF INTEGRAL , PETTIS INTEGRAL , BOURGAIN PROPERTY
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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.
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