| A NOTE ON REARRANGEMENTS OF SERIES IN BANACH SPACES |
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| 引用本文： | ZhongHuaijie. A NOTE ON REARRANGEMENTS OF SERIES IN BANACH SPACES[J]. 数学研究, 1994, 27(1): 204-208 |
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| 作者姓名： | ZhongHuaijie |
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| 作者单位： | Dept.ofMath.,FujianNormalUniv.Fuzhou350007 |
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| 摘 要： | ![]()
We generalize Kadec‘s and Yan Zikun‘s resuhs in [1],[2] to prove; in every infinite dimensional real Banach space Y there exist an infinite dimensional subspace X and a series ∑xn such that ∑xn has property(N) in X. but(the domain of sums of this series) S(∑xn) is not a convex set.
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| 关 键 词： | 实巴拿赫空间 无限维子空间 凸集 条件收敛 |
A NOTE ON REARRANGEMENTS OF SERIES IN BANACH SPACES |
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| ZhongHuaijie. A NOTE ON REARRANGEMENTS OF SERIES IN BANACH SPACES[J]. Journal of Mathematical Study, 1994, 27(1): 204-208 |
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| Authors: | ZhongHuaijie |
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| Affiliation: | Dept.ofMath.,FujianNormalUniv.Fuzhou350007 |
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| Abstract: | ![]()
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