摘要
本文主要是在Ｂａｎａｃｈ空间中建立了集值测度的勒贝格分解定理，把文［２］在有限维向量空间中集值测度的勒贝格分解定理，推广到了无穷维空间．
In this poper, we have established the Lebesgue decompsition Theorem for set valued measures in Banach space.So Lebesgue decomposition of set --valued measures in finite--dimensional real vector spaces in [2] is generalized in infinite dimensional spece.
关键词
集值测度
勒贝格分解
巴拿赫空间
Set-valued measure, Lebesgue Decomposition, Banach space.
