| Weakly Unconditional Cauchy Series on Locally Convex Spaces |
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| 作者单位： | Li Ronglu (Department of Mathematics，Harbin Institute of Technology，Harbin，150061 )Min-Hyung Cho(Department of Mathematics，Kum-Oh University of Technology，Kumi，Korea) |
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| 摘 要： | Ｗｅａｋｌｙ Ｕｎｃｏｎｄｉｔｉｏｎａｌ Ｃａｕｃｈｙ Ｓｅｒｉｅｓ ｏｎ Ｌｏｃａｌｌｙ Ｃｏｎｖｅｘ ＳｐａｃｅｓＬｉＲｏｎｇｌｕ（李容录）（ＤｅｐａｒｔｍｅｎｔｏｆＭａｔｈｅｍａｔｉｃｓ，ＨａｒｂｉｎＩｎｓｔｉｔｕｔｅｏｆＴｅｃｈｎｏｌｏｇｙ，...
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Weakly Unconditional Cauchy Series on Locally Convex Spaces |
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| Authors: | Li Ronglu |
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| Abstract: | Two characterizations of weakly unconditionally Cauchy series are given for the case of locally convex spaces. This proposition and a result on bounded multiplier convergent series of the authors imply that the space of continuous linear operators from c0 into an arbitrary locally convex space has a nice property which nears the weak compactness. |
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| Keywords: | Grothendieck's Completion Almost Weakly Compact Operators Weakly Unconditional cauchy Series |
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