Matrix transformations in the sets χ(Np, Nq) where χ is of the form sξ or sξo or sξ(c)

In this paper we deal with matrix transformations mapping in either of the sets s?(Nq), s?o(Nq) or s?(c)(Nq). Then we study some properties of the sets s?(Np Nq) and s?o(Np Nq) and give a characterization of matrix transformations in these spaces. These results generalize those given in [11, 14, 16].