RESUMEN

The classical spaces ℓp = ℓp(N,R) are generalizad into topological vector spaces ℓ0(I,Y) by replacing N and R by a non empty set I and a topological vector space Y respectively. Various topological and order structures are considered by showing that ℓp(I,Y) satisfice a given property iff Y does so. For normed spaces, a characterizacion of the reflexivity ando f the dual of ℓp(I,Y) is given.