摘要
为了用泛函的方法解决收敛问题,通过应用拓扑向量空间的一些性质,将一个序列到另一个序列的变化看作是变换,得到复距离空间中一些序列收敛性的等价条件.改进和推广了Abel定理,Mertens定理,O.Stolze公式等.
In order to solve convergence problems in a functional way,some properties of topological vector spaces are used to view the changes of one sequence to another as a linear transformation.Some equivalent conditions of convergence of sequences in complex metric spaces are obtained as well.The Abel Theorem, Mertens Theorem and O.Stolze Formula have been improved and generalized.
出处
《成都信息工程学院学报》
2011年第1期57-60,共4页
Journal of Chengdu University of Information Technology
