Journal article

On the Riesz Representation Theorem and Integral Operators


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Publication Details

Author list: Robdera A. Mangatiana

Publisher: NISC (Pty) Ltd and Taylor & Francis

Publication year: 2015

Journal: Quaestiones Mathematicae

Journal acronym: QA

Volume number: 39

Issue number: 4

Start page: 441

End page: 455

Number of pages: 15

ISSN: 1607-3606

eISSN: 1727-933X

URL: https://www.tandfonline.com/doi/abs/10.2989/16073606.2015.1091045



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.


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Last updated on 2024-26-09 at 14:29