集值测度的Radon-Nikodym定理及集值算子的Pettis-Aumann积分表示

Radon-Nikodym Theorems for Set-Valued Measures and Pettis-Aumann Integral Representation for Set-Valued Operators

本文建立了 Ｂａｎａｃｈ空间集值测度的 Ｒａｄｏｎ－Ｎｉｋｏｄｙｍ定理，并给出了两类集值算子的Ｐｅｔｔｉｓ－Ａｕｍａｎｎ积分表示．

This paper establishes the Radon-Nikodym theorems for set-valued measures on Banach spaces, and gives Petits-Aumann integral representations for two kinds of set-valued operators.