关于附加集值映射的Riesz积分表示(I)

British journal of applied science & technology Pub Date : 2017-01-10 DOI:10.9734/BJAST/2017/30901

Lakmon Kodjovi, S. Kenny, Ayassou Emmanuel, Tchariè Kokou

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摘要

本文推广了连续线性映射与加性集值映射相关的Riesz积分表示，其值在任意Banach空间的所有闭有界凸非空子集的集合中。我们推导了集合值映射、Diestel-Uhl的向量值映射和Dunford-Schwartz的标量值映射的Riesz积分表示结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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

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.

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British journal of applied science & technology

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