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Quaestiones Mathematicae

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On the Riesz representation theorem and integral operators

Mangatiana A. Robdera

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.

Keywords: Vector integral, integral operators, operator kernel




http://dx.doi.org/10.2989/16073606.2015.1091045
AJOL African Journals Online