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《Journal of Henan University (Natural Science)》 1990-02
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The Convergence in Topological Linear Space

Zhou Hexun (Henan University)  
In this paper,we study some properties of convergence in Topologicpl Linear Space (TPS)by introducing a new topological Conslfructure of TPS. Wediscuss the relations between the Weak Convergence and σ(Y) Convergence and obtain a equivalent form of weak couvergence,it is that Weak topologic can be founded by taking all set of form {x∈X: |g(Tx)|ε, T∈B[X,Y],g∈Y} aslocalneighborhood subbase.
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【Citations】
Chinese Journal Full-text Database 1 Hits
1 Liu Haoyue Wang Qingjie Kou Huaizhong;A NEW TOPOLOGICAL STRUCTURE ON TOPOLOGICAL VECTER SPACES[J];Journal of Henan Normal University(Natural Science);1987-04
【Co-citations】
Chinese Journal Full-text Database 1 Hits
1 Wang Jingxin(Department of Mathematics,Liaoning Normal University Dalian 116022);ON (E_1) BOUNDED VARIATION FUNCTIONS WITH VALUE IN A BANACH SPACE[J];JOURNAL OF LIAONING NORMAL UNIVERSITY(NATURAL SCIENCE EDITION);1994-03
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