| s-乘数收敛的Orlicz-Pettis定理(英文) |
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| 引用本文： | 陶元红,卜繁强.s-乘数收敛的Orlicz-Pettis定理(英文)[J].延边大学理工学报,2010,36(3):192-195. |
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| 作者姓名： | 陶元红 卜繁强 |
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| 作者单位： | 延边大学理学院,数学系,吉林,延吉,133000 |
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| 摘 要： | 讨论乘数收敛级数的Orlicz-Pettis型定理.首先给出一个新的Helliger Tplitz拓扑δ(X,X′),然后证明若数列空间s包含c00,则(s,δ(s,sβ))是AK-空间;若数列空间s具有性质G,则(s,c(s,sβ))是AK-空间.
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| 关 键 词： | s-乘数收敛 AK-空间 Helliger Tplitz拓扑 |
Orlicz-Pettis Theorems for s-multiplier Convergence |
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| TAO Yuan-hong,BU Fan-qiang.Orlicz-Pettis Theorems for s-multiplier Convergence[J].Journal of Yanbian University (Natural Science),2010,36(3):192-195. |
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| Authors: | TAO Yuan-hong BU Fan-qiang |
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| Affiliation: | (Department of Mathematics,College of Sciences,Yanbian University,Yanji 133000,China) |
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| Abstract: | The Orlicz-Pettis type theorems for multiplier convergent series was discussed.We first present a new Helliger Tplitz topology δ（X,X′）,sencordly we prove that if s is a sequence space which contains c00,then（s,δ（s,sβ）） is an AK-space,finally we show that if s has property G,then（s,c（s,sβ）） is an AK-space. |
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| Keywords: | s-multiplier convergence AK-space |
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