Weakly Convergent Sequence Coefficient in Musielak-Orlicz Sequence Spaces

Liying Fan; Yunan Cui; Henryk Hudzik

Abstract

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.

Author information

Contact details are reproduced from the original publication and may be historical.

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

Keywords

Fixed point property
Musielak-Orlicz sequence spaces
weak convergent sequence coefficient

Mathematics Subject Classification

46B20, 47H10

Suggested citation

L. Fan, Y. Cui, H. Hudzik. “Weakly Convergent Sequence Coefficient in Musielak-Orlicz Sequence Spaces.” Journal of Convex Analysis 16 (2009), No. 1, 153–163.