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1)  the property of sequence convergence
可序列收敛性
1.
On the basis of that,this ratical has also pointed out that the condition of using the property of sequence convergence to deseribe continuous mapping is the sufficient condition rather than necessary condition on the general topological space.
 引进拓扑空间X的可序列收敛性质,证明了这一性质是可商的性质。
2)  convergent sequence
收敛序列
1.
With the aid of the geometry method,this paper presents the estimated values of the convergent reminders of certain important convergent sequences.
对某些重要的收敛序列,借助几何直观方法估计了它们的收敛余项。
2.
In general,the convergent sequence and bounded set are concepts only in topological spaces.
收敛序列和有界集一般是拓扑空间中的概念 ,文章首先引入序列收敛 C和 L* -空间 (给出某种序列收敛关系的向量空间 ) ,然后在其中定义有界集 。
3.
Main results are:① every implication open(closed)ball with radius not less then the norm of the heart point is an MP-filter;② every convergent sequence has unique limit;③ every convergent sequence is a Cauchy sequence;④ if a Cauchy sequence {xn} has a subsequence which converges to a point x,then {xn} converges to x too.
证明了:①每一半径不小于球心范数的蕴涵开(闭)球都是MP滤子;②每个收敛序列都有唯一的极限;③每个收敛序列都是Cauchy列;④如果一个Cauchy列{xn}的某个子列收敛于点x,则该Cauchy列本身也收敛于点x。
3)  sequential convergence
序列收敛
1.
The paper deduces a conclusion about sequential convergence on the c semigroup from main lemma in the article , and studies the property by analyzing its generator spectrum.
在文献 [2 ]主要引理的基础上 ,得到关于C -半群序列收敛的一个定理 ,该定理通过生成元的谱来分析半群序列的收敛性 ,并给出另一定理的简化证
2.
In this paper,a sequential convergence in vector space is first given,then,from the sequential neighborhoods,the additive filterbase of absolutely convex absorbing sets is obtained,a local convex topological vector space,LCL space,is constructed.
首先在线性空间中给出一个序列收敛关系 ,然后利用列邻域得到了由绝对凸吸收集构成的可加滤子基 ,进而构成了局部凸空间—— L CL空间 ,文中证明了 L CL空间的重要特征是序列连续性等价于拓扑连续性 ,并讨论了 L CL空间的拓扑结构 。
3.
In this paper,we give some results of sequential convergence in substitution spaces P_BB_s.
本文首先给出置换空间P_BB_s上线性连续泛函的表现定理,进而建立置换空间及其对偶的各种序列收敛定理。
4)  Convergent Subsequence
收敛子序列
5)  weak convergence sequence
弱收敛序列
1.
In this paper, we recall some basic results from the space L p concerning the weak convergence sequence and give the correspond proofs.
讨论空间Lp中弱收敛序列的一些性质及判别的方法 ,并给出了相应结果的证明。
6)  w sequential convergence
w序列收敛
补充资料:收敛药(收敛剂)

收敛药(收敛剂)

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