LF赋准范线性空间中的若干结果

Some Results on LF Pre-normal Space

在文〔1〕的基础上 ,用分子网的收敛理论 ,对LF赋准范空间引入闭集的概念 ,给出了LF准范数所确定的LF拓扑 ,并讨论了有关性质 ,证明了LF赋准范空间是一类特殊的LF拓扑线性空间 ,从而 ,为探讨LF拓扑线性空间可LF赋准范化问题打下了良好的基础 .

Based on the paper〔1〕,give LF topology definited LF pre-norm to the concept of closed set into LF pre-normal space with the theory of convergence of molecular net,and discuss relative properties and prove that LF pre-normal space is a special LF topology linear space.Therefore,give a good foundation for further study LF topology linear space.