无RNP Banach空间中集值测度的Radon-Nikodym定理

Radon-Nikodym Theorems for Set-valued Measures in Banach Space without RNP

摘要: 自七十年代初以来关于集值测度的Radon-Nikodym导数取得了不少成果，所有这些成果中均要求所考虑的Banach空间具有RNP，本文在无RNP的Banach空间中建立了集值测度的Radon-Nikodym定理。

Abstract: Since the early seventies, there have been many results about the Radon-Nikodym derivatives of set-valued measures, but all the results were gained in Banach spaces with RNP. In this paper, we establish the Radon-Nikodym theorems for set-vained measures in Banach spaces without RNP.