| 矢值序列空间BMC（X）中的序列紧集 |
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| 引用本文： | 卜庆营,刘庆吉.矢值序列空间BMC（X）中的序列紧集[J].哈尔滨工业大学学报,1995,27(4):12-14. |
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| 作者姓名： | 卜庆营 刘庆吉 |
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| 作者单位： | 哈尔滨工业大学数学系 |
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| 摘 要： | 利用局部凸空间理论，讨论了矢值序列空间ＢＭＣ（Ｘ）中的相对序列紧集的性质，给出了其特征刻划，即ＢＭＣ（Ｘ）中的子集是相对序列紧集，当且仅当它是一致收敛集及其每个坐标射影集是相对序列紧集。同时，在局部凸空间Ｘ不包含ｃ０的情况下，给出了ＢＭＣ（Ｘ）中的相对序列紧集的另一种特征刻划。
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| 关 键 词： | 局部凸空间 矢值序列空间 紧集 相对序列紧集 |
Compact Sets in Vector-valued Sequence Space BMC(X) |
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| Bu Qingying, Liu Qingji, Ren Liwei.Compact Sets in Vector-valued Sequence Space BMC(X)[J].Journal of Harbin Institute of Technology,1995,27(4):12-14. |
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| Authors: | Bu Qingying Liu Qingji Ren Liwei |
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| Affiliation: | Dept. of Mathematics |
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| Abstract: | This paper shows that a set in foe vector-valued sequence space BMC(X) is a relatively sequentially compact set if and only if it is an uniformly convergent set and its each coordinate project set is relatively sequentially compact, and shows another characterization of relatively sequentially compact sets in BMC(X) in case the locally convex space X does not contain a copy of co |
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| Keywords: | Locally convex space vector-valued sequence space compact set |
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