Abstract
In this note, we carry out investigations related to the mixed
impact of ordering and topological structure of a locally convex solid
Riesz space (X,τ) and a scalar valued sequence space λ, on the vector
valued sequence space λ(X) which is formed and topologized with the help
of λ and X, and vice versa. Besides,we also characterize o-matrix transformations
from c(X), ℓ∞(X) to themselves, cs(X) to c(X) and derive necessary
conditions for a matrix of linear operators to transform ℓ1(X) into a
simple ordered vector valued sequence space Λ(X).