论文标题
对数无限发电机的操作员拓扑
Operator topology for logarithmic infinitesimal generators
论文作者
论文摘要
在操作员拓扑的背景下，研究了通常无限的无限发电机。从seminorm的定义开始，引入了局部凸拓扑矢量空间的概念以及fr {é} chet空间的概念。这些是定义操作员拓扑的基本概念。因此，通过将拓扑概念与序列的融合相关联，提出了一个合适的数学框架，用于获得无限发电机的对数表示。
Generally-unbounded infinitesimal generators are studied in the context of operator topology. Beginning with the definition of seminorm, the concept of locally convex topological vector space is introduced as well as the concept of Fr{é}chet space. These are the basic concepts for defining an operator topology. Consequently, by associating the topological concepts with the convergence of sequence, a suitable mathematical framework for obtaining the logarithmic representation of infinitesimal generators is presented.
