| 泛函分析中两个定理的推广 |
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| 引用本文： | 张子厚. 泛函分析中两个定理的推广[J]. 安徽理工大学学报(自然科学版), 1990, 0(3) |
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| 作者姓名： | 张子厚 |
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| 作者单位： | 安微广播电视大学淮南分校 |
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| 摘 要： | 本文首先将Goldstine-Weston定理从赋范线性空间推广到局部线性拓扑空间。其次,证明了实Banach空间一致光滑的一个充分条件。所得结论推广了文[3]中的一个定理,改进了文[4]的一个定理。
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| 关 键 词： | 赋范空间 局部凸线性空间 拓朴空间 巴拿赫空间 |
Generalization of Two Theorems in Functional Analysis |
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| Zhang Zihou. Generalization of Two Theorems in Functional Analysis[J]. Journal of Anhui University of Science and Technology:Natural Science, 1990, 0(3) |
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| Authors: | Zhang Zihou |
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| Affiliation: | Huainan TV University |
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| Abstract: | Generalization is first made of the Goldstine-Weston Theorem from norm linear spaces to locally convex linear topological spaces. Then proof is given of a sufficient condition for real Banach spaces to be uniformly smooth. And finally, upon this basis, a theorem in [3] is generalized and a theorem in [4] modified |
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| Keywords: | normed spaces locally convex linear spaces topological spaces Banach spaces |
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