| 一个Thoms型定理 |
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| 引用本文： | 王宝玲,杨殿军. 一个Thoms型定理[J]. 东北数学, 2000, 16(3): 357-361 |
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| 作者姓名： | 王宝玲 杨殿军 |
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| 作者单位： | WANG Bao-ling (Department of Mathematics,Harbin University of Civil Engineering and Architecture,Harbin,150090) YANG Dian-jun (Department of Mathematics,Heilongjiang Commercial College,Harbin,150006) |
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| 基金项目： | The Natrual Science Fund (A9621) of Heilongjiang Province. |
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| 摘 要： | Thomas［1］ established a genralization of the OrliczPettis theorem as follows: Let Ω be a compact Hausdorff space and X a normed space. If a series ∑fj in C(Ω,X) is subseries convergent in the topology of pointwise convergence on Ω, then ∑fj is also subseries convergent in the topology of uniform convergence on Ω. Note that ∑fj is subseries convergent in the topology of pointwise (resp., uniform) convergence on Ω means that for every (tj)∈{0,1}N, there is an f∈C(Ω,X) such that …
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| 关 键 词： | 伪紧空间 局部凸 一致收敛 线性拓扑 |
A Thomas Type Theorem |
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| WANG Bao-ling. A Thomas Type Theorem[J]. Northeastern Mathematical Journal, 2000, 16(3): 357-361 |
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| Authors: | WANG Bao-ling |
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| Affiliation: | [1]DepartmentofMathematics,HarbinUniversityofCivilEngineeringandArchitecture,Harbin,150090 [2]DepartmentofMathematics,HeilongjiangCommercialCollege,Harbin,150006 |
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| Abstract: | A Thomas type theorem is established for c0 and l^p-multiplier convergence of a function series. This theorem contains some recent results as special cases. |
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| Keywords: | pseudocompact space locally convex space topology of uniform convergence |
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