Resumen de Nuclearity of certain vector-valued sequence spaces

M.A. Ould Sidaty

• 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.