有界格上的Null–范数构造方法的讨论

Discussion on the Construction of Null-Norms on Bounded Lattices

摘要: 本文引入格上Null–范数的概念，从Null–范数的不同区间的取值入手进行讨论，证明了有界格上的Null–范数的构造方法有且仅有三种，并给出了三种Null–范数的大小关系。

Abstract: Based on the concept of null-norm on bounded lattices, this paper gives a theorem that indicates there are only three construction methods of null-norm on bounded lattices, and gives a proposition that points out a relationship of the three null-norms with fixed zero element a.