
Journal of Convex Analysis 16 (2009), No. 1, 153163 Copyright Heldermann Verlag 2009 Weakly Convergent Sequence Coefficient in MusielakOrlicz Sequence Spaces Liying Fan Dept. of Mathematics, Univ. of Science and Technology, Harbin 150080, P. R. China Frankying@yahoo.com.cn Yunan Cui Dept. of Mathematics, Univ. of Science and Technology, Harbin 150080, P. R. China yunan_cui@yahoo.com.cn Henryk Hudzik Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Umultowska 87, 61614 Poznan, Poland hudzik@amu.edu.pl A formula for the weakly convergent sequence coefficient of the MusielakOrlicz sequence space l_{Φ} equipped with the Luxemburg norm is calculated. As a consequence of this result the cofficient for Nakano sequence spaces l^{(pi)} is found. Criteria for weakly uniformly normal structure of MusielakOrlicz sequence spaces equipped with the Luxemburg are also given. Keywords: Fixed point property, MusielakOrlicz sequence spaces, weak convergent sequence coefficient. MSC: 46B20, 47H10 [ Fulltextpdf (148 KB)] for subscribers only. 