Displaying similar documents to “Maps preserving convergence of series”

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 X can be characterized through the behaviour of its weakly- * unconditionally Cauchy series in X * .