Orlicz Sequence Spaces with a Unique Spreading Model
1 Department of Mathematics, Heilongjiang University, Harbin 150080, China
2 Department of Information Science, Star College of Harbin Normal University, Harbin 150025, China
3 Department of Mathematics, Inner Mongolia University, Tongliao 028000, China
Journal of Inequalities and Applications 2010, 2010:962842 doi:10.1155/2010/962842Published: 31 May 2010
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.