Article

On the Riesz representation theorem and integral operators

Published in: Quaestiones Mathematicae
Volume 39 , issue 4 , 2016 , pages: 441–455

DOI: 10.2989/16073606.2015.1091045

Author(s): Mangatiana A. Robdera Department of Mathematics, Botswana

Keywords: Primary 45P05 , 47G10 , 46E40; , Secondary 46B20 , Primary 45P05 , 47G10 , 46E40; , Secondary 46B20

Abstract

We present a Riesz representation theorem in the setting of extended integration theory as introduced in [6]. The result is used to obtain boundedness theorems for integral operators in the more general setting of spaces of vector valued extended integrable functions.

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