Characterizations of completeness of normed spaces through weakly unconditionally Cauchy series
Francisco Javier Pérez Fernández, F. Benítez-Trujillo, Antonio Aizpuru Tomás (2000)
Czechoslovak Mathematical Journal
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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 can be characterized through the behaviour of its weakly- unconditionally Cauchy series in .