论文标题
措施及其许多应用的抽象分解
An abstract decomposition of measures and its many applications
论文作者
论文摘要
我们考虑了鲜为人知的抽象分解结果，这是由于Dellacherie的原因，并表明它产生了许多措施分解，其中一些是新的。然后，我们研究了分解的输出如何取决于其输入，特别是将分解的两个元素表征为Riesz空间和度量空间的投影。
We consider a little-known abstract decomposition result, due to Dellacherie, and show that it yields many decompositions of measures, several of which are new. Then, we investigate how the outputs of the decomposition depend on its inputs, in particular characterising the two elements of the decomposition as projections in the sense of Riesz spaces and of metric spaces.
