The purpose of this note is to characterize some of the matrix transformations bet- ween the seguence spaces L^. and Lg defined in an incomplete seminormed coınplex iinear space X with the seminorm p and the zero O, where = {(xj^) : S [p(Xi)]'' ' k=ı L, co , 1 co and Xjj € Xj. and L, 00 = { (Xk)j s [p (Xt)J ' k=ı ıs s 00 , 0 s 1 and e X^. We also incinde a diagramalic representation of the tkeorems at the end of the paper.