| Banach空间的弱*序列紧性 |
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| 引用本文： | Geng Zhibin.Banach空间的弱*序列紧性[J].大学数学,1998(2). |
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| 作者姓名： | Geng Zhibin |
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| 作者单位： | 武汉测绘科技大学基础部(耿志斌)，华中师范大学数学系(何穗) |
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| 摘 要： | 本文研究了Ｂａｎａｃｈ空间的弱序列紧性．Ｂａｎａｃｈ空间Ｘ称为有（ｗ）性质，如果Ｘ（Ｘ的共轭空间）的每个有界序列有弱收敛子列．我们证明了，如果Ｂａｎａｃｈ空间Ｘ有（ｗ）性质，那么ｌｐ（Ｘ）（１≤ｐ＜＋∞）与ｃ０（Ｘ）也有（ｗ）性质．
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| 关 键 词： | Banach空间 弱*序列紧性 |
The w* Sequential Compactness in Some Banach Spaces |
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| Abstract: | This paper deals with the w* sequential compactness in some Banach spaces. A Banach space X is said to have (w) property if every bounded sequence in X* (the dual of X) has a w* convergent subsequence. We prove that if a Banach space X has (w)property, then lp(X) (1≤p<∞) and c0(X) also have (w) property. |
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| Keywords: | Banach space w* sequential compactness |
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