In this paper we define the space co(Δ)={x=(xk)/xk−kk−1→0(k→∞),xo=0,xk∈ℂ} and compute
its duals (Continuous dual, β-dual and N-dual) The aim of this paper is to give same results about matrix mapping
of co(Δ) into other sequence spaces including the convergent sequences, null sequences and bounded
sequences.