Barrelledness of generalized sums of normed spaces
Ariel Fernández, Miguel Florencio, J. Oliveros (2000)
Czechoslovak Mathematical Journal
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Let be a family of normed spaces and a space of scalar generalized sequences. The -sum of the family of spaces is Starting from the topology on and the norm topology on each a natural topology on can be defined. We give conditions for to be quasi-barrelled, barrelled or locally complete.