Abstract

A formula for the weakly convergent sequence coefficient of the Musielak-Orlicz sequence space lΦl_\Phi equipped with the Luxemburg norm is calculated. As a consequence of this result the cofficient for Nakano sequence spaces l(pi)l^{(p_i)} 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. https://doi.org/10.68381/jca16007

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Published by Heldermann Verlag, 2009. Rights now held by Banach Press.