A NEW TOPOLOGICAL STRUCTURE ON TOPOLOGICAL VECTER SPACES
Liu Haoyue Wang Qingjie Kou Huaizhong
This article defines σ(E_1) topology on topological vecter space E, generalizes the results in, and there E denoted a Banach space. we investigate the relations betweenσ(E_1) and original topology T and weak topology W on E, and we obtain the following result(seeTh.3) W≤σ(E_1)≤T We end it with Th. 5 and Th. 6 which present two sufficient and necessary conditions about the equivalence ofσ(E_1)with T.