Original Articles

Sets which are dense in the space of all Pettis integrable functions

Published in: Quaestiones Mathematicae
Volume 23 , issue 4 , 2000 , pages: 525–528

DOI: 10.2989/16073600009485995

Author(s): Dumitru Popa

Abstract

Using the examples given by S.J. Dilworth and M. Girardi, we prove that the set of all nowhere Pettis differentiable functions is a G _δ-dense set in the space of all X-valued Pettis integrable functions on [0, 1]. Also an another example of a dense set in the space of all Pettis integrable functions is given.

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