Journal of Convex Analysis 16 (2009), No. 1, 153--163
Copyright Heldermann Verlag 2009
Weakly Convergent Sequence Coefficient in Musielak-Orlicz 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, 61-614 Poznan, Poland
hudzik@amu.edu.pl
A formula for the weakly convergent sequence coefficient of the Musielak-Orlicz sequence space lΦ 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 Musielak-Orlicz sequence spaces equipped with the Luxemburg are also given.
Keywords: Fixed point property, Musielak-Orlicz sequence spaces, weak convergent sequence coefficient.
MSC: 46B20, 47H10
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