| K—Bounded Sets and A—Spaces |
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| 引用本文： | 武俊德.K—Bounded Sets and A—Spaces[J].数学季刊,1998,13(2):64-66. |
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| 作者姓名： | 武俊德 |
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| 作者单位： | Department of Mathematics，Daqing Petroleum Institute，Anda，151400 |
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| 摘 要： | Let(E,T)bealocallyconvexspace,asequence{xi}inEissaidtobeT-Kconvergentifeverysubsequenceof{xi}hasasubsequence{xik}suchthattheseries∑kxikisT-convergenttoanelementx∈E(1]).NotethatasequencewhichisT-KconvergentmustbeT-con-vergentto0.But,ingeneral,itisnotconversely.ThesetA(E,T)issaidtobeT-Kboundedsetifwhenever{xi}Aand{ti}isasequenceofpositivescalarswhichconvergesto0,then{tixi}isT-Kconvergent(1]).ItisclearthataT-KboundedsetisalwaysT-boundedsetbutnotconversely.ThenotionsofK-convergentand…
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| 关 键 词： | K－有界集 A－空间 局部凸空间 |
K-Bounded Sets and A-Spaces |
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| Wu Junde.K-Bounded Sets and A-Spaces[J].Chinese Quarterly Journal of Mathematics,1998,13(2):64-66. |
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| Authors: | Wu Junde |
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| Abstract: | |
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| Keywords: | locally convex space K-bounded set A-space |
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