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Notes of k-smoothness in Orlicz sequence spaces |
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| Authors: | LIU Chun-yan SHI Zhong-rui |
| Affiliation: | Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China |
| Abstract: | The criterion for k-smooth points of the Orlicz sequence space endowed with the Orlicz norm is proved. The necessary and sufficient conditions of k-smoothness of lM and l(M) are obtained, respectively. Finally, we give the counterexamples which show that previous results are not true. |
| Keywords: | Orlicz sequence space k-smoothness k-smooth point Orlicz norm Luxemburg norm |
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