Abstract
In this paper, we explore the question of weak-Riemann integrability of functions taking values in a dual Banach space and show that to ensure weak-Riemann integrability of weak*-continuous functions, it is both necessary and sufficient that the space in question be a Grothendieck space.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.