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# Article

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Keywords:
completeness; barrelledness; weakly unconditionally Cauchy series
Summary:
In this paper we obtain two new characterizations of completeness of a normed space through the behaviour of its weakly unconditionally Cauchy series. We also prove that barrelledness of a normed space $X$ can be characterized through the behaviour of its weakly-$\ast$ unconditionally Cauchy series in $X^\ast$.
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