Extension of the pre- integral to an integral

  • Mahmoud Mohamed Laila

Abstract

In this paper, we construct a pre- integral from a pre- measure and, we will prove that each positive linear functional on Cc(R) or C[a, b] is a pre-integral , we construct the Daniell-Stone
extension of a pre-integral. Finally, we will prove that, the Daniell extension of a pre-integral is an integral.

Published
2014-02-22
Section
Articles