The norm, Z^ operatör norm and mixed 1^^ norm of an mxn complex matrix A ~ given by N4 ! m n p . L Ş i i jİ_-It _j_=_ı P and ll^llp = mas-j^ ] Ax | xeC«, J x J 1} and ip« n s w J=1 I “zy I P vl” respectively [2 ]. In this stııdy we obtained some results. we investigated the relations between Z^ norms for matrices and