Banach-Mackey, locally complete spaces, and ℓ p,q -summability

Carlos Bosch and Armando García

International Journal of Mathematics and Mathematical Sciences, 2000, vol. 23, 1-5

Abstract:

We defined the ℓ p,q -summability property and study the relations between the ℓ p,q -summability property, the Banach-Mackey spaces and the locally complete spaces.

We prove that, for c 0 -quasibarrelled spaces, Banach-Mackey and locally complete are equivalent. Last section is devoted to the study of CS-closed sets introduced by Jameson and Kakol.

Date: 2000
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:170268

DOI: 10.1155/S0161171200002209

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