有限分划子模和距离公式

The Finite-partition Sub-modulae and the Distance Formula

在这篇文章中,作者首先引入弱闭Alg(N)-模u上的半范数(?),并且利用这些半范数刻画u的有限分划子模;进而,作为该刻画的一个应用,文中给出有限分划子模的距离公式．

In this paper, the authors first introduce semi-norms iN^-^～,2N^＋^～（arbitanyNE∈N） on a weakly closed Alg（N）-module μ and use them to characterize the finite-partition sub-module of μ; Furthermore, as an application of the characterization, the authors give the distance formula for the finitepartition sub-module.