ON SOME NEW SEQUENCE SPACES OF NON-ABSOLUTE TYPE

Abstract. In this paper, we define the new sequence spaces c_0^λ(u); c^λ(u) and l_∞^λ(u), whereλ= (λ_k)_k^∞=0 is a strictly increasing sequence of positive reals tending to ∞, u = (u_n) is asequence of complex numbers. ¤¡ transforms of these spaces are in the spaces c_0(u), c(u) andl_∞(u), respectively. We also establish some inclusion relations between these spaces which areBK-spaces.