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1)  linear topological space
线性拓扑空间
1.
Their work enables the theorem to be generalized in linear topological space.
本文对向量极小化问题的一个重要的定理在线性拓扑空间中给予了证明,从而使该定理应用到线性拓扑空间
2.
Aim To study the existence of the extreme points of a compact set in linear topological space.
目的研究线性拓扑空间中紧集端点存在性问题。
3.
Generalizes Dini s theorem to mappings from topological space to linear topological space or metric space and gives several proofs for the generalized theorem and some corollaries.
将著名的 Dini定理拓展为拓扑空间到线性拓扑空间或度量空间的连续映射 ,并给出推广后定理的几种证法及一些推论 。
2)  topological linear space
线性拓扑空间
1.
The concept of closed fuzzy set is introduced in topological linear space.
引入线性拓扑空间中的凸闭模糊集概念 ,得到闭模糊集是凸模糊集的充分必要条件 。
3)  topological vector space
拓扑线性空间
1.
We give a sufficient & necessary condition for the Existence of non-trivial continuous linear functional on top-ological vector spaces, and show that there is no non-trivial continuous linear functional on any quasi-bounded topological vector space.
给出了拓扑线性空间上存在非零连续线性泛函的一个充要条件,并由此证明了在任意拟有界的拓扑线性空间上均不存在非零连续线性泛函。
2.
In the general topology and functional analysis,attention was paid only on topological vector space L~P when P≥1.
讨论了拓扑线性空间LP[a,b]在0
3.
The paper investigates sensitivity analysis of multiobjective optimization in locally compact topological vector spaces instead of metric spaces and obtains much more general results.
利用局部紧的条件 ,将多目标优划问题的灵敏度分析由度量空间推广到拓扑线性空间 ,得到了更一般的结果。
4)  Fuzzy topological linear space
Fuzzy拓扑线性空间
5)  Topological linear spaces
拓扑线性空间
1.
In this paper, Drop theorem in topological linear spaces is established.
给出了拓扑线性空间中的一个Drop定理。
6)  topological linear space
拓扑线性空间
1.
Criteria of left topological inner inverse of linear operator intopological linear space;
拓扑线性空间中线性算子的左拓扑内逆的判据
2.
Equivalent condition of existence of non-continuous linear operator in topological linear space
拓扑线性空间中存在非连续线性算子的充要条件
3.
By using the well-known Browder fixed point theorem and scalarization method,the existence theorems of solution for a class of generalized strong vector quasiequilibrium problems in topological linear spaces are obtained.
利用Browder不动点定理和数值化方法,得到拓扑线性空间中一类广义强向量拟均衡问题的解的存在定理,推广Chen,Hou的一个主要结果。
补充资料:线性拓扑空间


线性拓扑空间
linear topdogical space

线性拓扑空间工如圈rto州心司铆份;姗成助eTo助,加斑耽CKoe nP0c冲皿卿l 同时又是拓扑空间的(线性)向且空间(v以。印ace)L,其中的加法运算和乘以标量的运算关于L中给定拓扑是连续的.见拓扑向纽空间(topofogical卿tor sPaCe).M .H .Bo幼l暇x撇K哺撰葛显良译
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