| Ba空间的一些性质 |
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| 引用本文： | 魏文展,董鸽.Ba空间的一些性质[J].黑龙江大学自然科学学报,2005,22(3):322-324. |
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| 作者姓名： | 魏文展 董鸽 |
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| 作者单位： | 广西师范学院,数学系,广西,南宁,530001;上海大学,数学系,上海,200444 |
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| 基金项目： | SupportedbyScienceFoundationofGuangxi(GSF0448036) |
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| 摘 要： | 讨论由一列线性赋范空间生成的Ba空间的几个性质.首先证明Ba空间既是囿空间又是桶形空间,并指出若X是线性赋范空间,则X*是Ba空间,接着又给出Ba空间等度连续、可分、局部一致凸等的几个充要条件.
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| 关 键 词： | Ba空间 桶形空间 等度连续的 可分的 局部一致凸的 |
Some properties of Ba spaces |
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| WEI Wen-zhan,Dong Ge.Some properties of Ba spaces[J].Journal of Natural Science of Heilongjiang University,2005,22(3):322-324. |
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| Authors: | WEI Wen-zhan Dong Ge |
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| Abstract: | Several properties of Ba spaces, which are produced by a sequence of linearly normed spaces, are discussed. It is shown that Ba spaces are both Bornological spaces and barrel spaces, and if X is a normed space, then X * is a Ba space. Thereby, some necessary and sufficient conditions under which Ba spaces are equicontinuous, separable and locally uniformly convex are given, respectively. |
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| Keywords: | Ba spaces barrel spaces equicontinuous separable locally uniformly convex |
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