On the Riesz Integral Representation of Additives Set-Valued Maps (I)

Lakmon A. Kodjovi; Siggini K. Kenny; Ayassou Emmanuel; Tchari`e Kokou

doi:10.9734/BJAST/2017/30901

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On the Riesz Integral Representation of Additives Set-Valued Maps (I)

Lakmon A. Kodjovi, Siggini K. Kenny, Ayassou Emmanuel, Tchari`e Kokou

Current Journal of Applied Science and Technology · pp. 1–7 · Published 23 Mar 2017

10.9734/BJAST/2017/30901

Abstract

In this paper we generalize the Riesz integral representation for continuous linear maps associated with additive set-valued maps with values in the set of all closed bounded convex non-empty subsets of any Banach space. We deduce the Riesz integral representation results for set-valued maps, for vector-valued maps of Diestel-Uhl and for scalar-valued maps of Dunford-Schwartz.

Linear maps associated with additive set-valued maps set-valued measures integral representation; topology

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Lakmon A. Kodjovi, Siggini K. Kenny, Ayassou Emmanuel, Tchari`e Kokou (2017). On the Riesz Integral Representation of Additives Set-Valued Maps (I). Current Journal of Applied Science and Technology , 1–7. https://doi.org/10.9734/BJAST/2017/30901

Affiliations

Lakmon A. Kodjovi — Department of Mathematics, University of Lomé, Togo
Siggini K. Kenny — Department of Mathematics, University of Lomé, Togo
Ayassou Emmanuel — Department of Mathematics, University of Lomé, Togo
Tchari`e Kokou — Department of Mathematics, University of Lomé, Togo

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