ON THE RIEMANN INTEGRABILITY OF WEAKLY CONTINUOUS FUNCTIONS

Published in: Quaestiones Mathematicae
Volume 17 , issue 1 , 1994 , pages: 33–35

DOI: 10.1080/16073606.1994.9632215

Author(s): V.M. Kadets Department of Mechanics and Mathematics, Ukraine

Keywords: 46G10

If X is a Banach space without the Schur property, then there is a weakly continuous function f: [0,1] → X which is not strongly Riemann integrable.

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