Nuclearity of certain vector-valued sequence spaces

• Autores: M.A. Ould Sidaty
• Localización: Revista de la Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza, ISSN 0370-3207, Nº. 62, 2007, págs. 81-90
• Idioma: inglés
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• Resumen

  • In this note, we deal with the space of [landa mayúscula]-summable sequences from a locally convex space E, where [landa mayúscula] is a perfect sequence space. We make use of a result of M. Florencio and Pedro J. Paúl in [4] to give a characterization of the nuclearity of [landa mayúscula] (E) in terms of that of [landa mayúscula] and E and the AK property.