Barrelledness of Generalized Sums of Normed Spaces |
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| Authors: | A Fernández M Florencio J Oliveros |
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| Institution: | (1) Dpto Matemática Aplicada II, Escuela Superior Ingenieros, Camino de los Descubrimientos, s/n, 41092- Sevilla, Spain.;(2) Dpto Matemática Aplicada II, Escuela Superior Ingenieros, Camino de los Descubrimientos, s/n, 41092- Sevilla, Spain |
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| Abstract: | Let (E
i
)
i I
be a family of normed spaces and  a space of scalar generalized sequences. The -sum of the family (E
i
)
iI
of spaces is Starting from the topology on and the norm topology on each E
i
, a natural topology on {(E
i
)
iI
} can be defined. We give conditions for {(E
i
)
iI
} to be quasi-barrelled, barrelled or locally complete. |
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| Keywords: | barrelled spaces generalized sequences |
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