Artículo
in λ-sums of normed spaces
Autor/es | Florencio Lora, Miguel
Paúl Escolano, Pedro José Sáez Agulló, Carmen |
Departamento | Universidad de Sevilla. Departamento de Matemática Aplicada II (ETSI) |
Fecha de publicación | 1989 |
Fecha de depósito | 2021-08-10 |
Publicado en |
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Resumen | Let E n , n=1,2,··. be a sequence of normed spaces and λ an AK-Köthe sequence space. The λ-sum of the spaces E n is defined by λ{E n }:={(x n ) n : x n is in E n and (|x n |) n ∈λ}. Starting from the topology in λ, λ{E n ... Let E n , n=1,2,··. be a sequence of normed spaces and λ an AK-Köthe sequence space. The λ-sum of the spaces E n is defined by λ{E n }:={(x n ) n : x n is in E n and (|x n |) n ∈λ}. Starting from the topology in λ, λ{E n } can be given a natural topology. In this paper we characterize the dual of λ{E n } as the λ × -sum of E n ' and give conditions for λ{E n } to be quasi-barrelled, barrelled, reflexive, bornological or distinguished. |
Cita | Florencio, M., Paúl Escolano, P.J. y Sáez Agulló, C. (1989). in λ-sums of normed spaces. Bulletin of the Belgian Mathematical Society Simon Stevin, 63, 209-217. |
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