Journal of Inequalities and Applications
Volume 2010 (2010), Article ID 962842, 10 pages
doi:10.1155/2010/962842
Research Article

Orlicz Sequence Spaces with a Unique Spreading Model

Cuixia Hao,1 Linlin Lü,2 and Hongping Yin3

1Department of Mathematics, Heilongjiang University, Harbin 150080, China
2Department of Information Science, Star College of Harbin Normal University, Harbin 150025, China
3Department of Mathematics, Inner Mongolia University, Tongliao 028000, China

Received 24 December 2009; Accepted 23 March 2010

Academic Editor: Shusen Ding

Copyright © 2010 Cuixia Hao et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We study the set of all spreading models generated by weakly null sequences in Orlicz sequence spaces equipped with partial order by domination. A sufficient and necessary condition for the above-mentioned set whose cardinality is equal to one is obtained.