Dual space of certain locally convex sequence spaces

• Autores: L. Oubbi, M.A. Ould Sidaty
• Localización: Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 59 (Serie 2a), 2004, págs. 79-88
• Idioma: inglés
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• Resumen

  • Let E be a locally convex space and ? a perfect sequence space. Denote by ?(E)r the space of all ?-summable sequences from E which are the limit of their finite sections. In this note we characterize the continuous linear functionals on ?(E)r in terms of strongly ?*-summable sequences in the dual E_ of E.