On the Riesz Integral Representation of Additives Set-Valued Maps (I)
Journal Title: Current Journal of Applied Science and Technology - Year 2017, Vol 19, Issue 4
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.
Authors and Affiliations
Lakmon A. Kodjovi, Siggini K. Kenny, Ayassou Emmanuel, Tchari`e Kokou
Keywords
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- EP ID EP319078
- DOI 10.9734/BJAST/2017/30901
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