| 矢值序列空间l~1(X)对局部凸空间(X,T)拓扑性质的刻划 |
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| 引用本文： | 武俊德,郭静贞.矢值序列空间l~1(X)对局部凸空间(X,T)拓扑性质的刻划[J].大庆石油学院学报,1992(2). |
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| 作者姓名： | 武俊德 郭静贞 |
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| 作者单位： | 大庆石油学院基础课部
(武俊德)，绥化师专(郭静贞) |
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| 摘 要： | 利用矢值序列空间l~1(X)及Kothe对偶来研究局部凸拓扑空间(X,T)的拓扑性质,分别得到了(X,T)是桶形空间的特征;(X,T)是σ—拟桶的特征及一个σ—拟桶空间是半核的特征。
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| 关 键 词： | 桶空间 σ—拟桶空间 Kothe对偶 |
THE TOPOLOGY PROPERTIES OF SPACE (X, T) ARE CHARACTERIZED BY VECTOR—VALUED SEQUENCE SPACE l~1(X) |
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| WU Junde,GUO Jingzhen Dept. of Natural Science and Applications Suihua Teacher''''s College.THE TOPOLOGY PROPERTIES OF SPACE (X, T) ARE CHARACTERIZED BY VECTOR—VALUED SEQUENCE SPACE l~1(X)[J].Journal of Daqing Petroleum Institute,1992(2). |
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| Authors: | WU Junde GUO Jingzhen Dept of Natural Science and Applications Suihua Teacher's College |
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| Affiliation: | WU Junde;GUO Jingzhen Dept. of Natural Science and Applications Suihua Teacher's College |
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| Abstract: | We make use of vector-Valued Sequence Space l~1 (X) and Kothe duales to study
the Topology properties of Space (X,T). We prove the characteristics of the Space (X,
T) to be Barreled Spaces and α-semibarreled space. We prove the characteristic of a α-
semibarreled space to be semi-Nuclear space, also. |
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| Keywords: | Barreled spaces σ-semibarreled spaces Kothe duales |
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