Resumen de Dual space of certain locally convex sequence spaces

L. Oubbi, M.A. Ould Sidaty

• 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.