In the paper “Convergence in normed Köthe spaces” (J. Singapore National Academy of Science,4, 146–148 (1975) M.R.52# 11568) Ng Peng-Nung and Lee Peng-Yee obtained a convergence result in the general setting of Banach funcation spaces providing conditions in order that pointwise and weak convergence imply norm convergence. They claim this result to be a generalization of a corresponding well known result in the Lebesgue space L1(X, u). To substantiate their claim it is necessary to show that the class of Banach function spaces for which their theorem holds is larger than the class of L1-spaces. This, we shall show, is unfortunately not the case.