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Notes of k-smoothness in Orlicz sequence spaces

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The criterion for fc-smooth points of the Orlicz sequence space endowed with the Orlicz norm is proved. The necessary and sufficient conditions of A;-smoothness of lM and l(M) are obtained, respectively. Finally, we give the counterexamples which show that previous results are not true.

Orlicz sequence spacek-smoothnessk-smooth pointOrlicz normLuxemburg norm

LIU Chun-yan、SHI Zhong-rui

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Department of Mathematics, College of Sciences, Shanghai University, Shanghai 200444, P. R. China

国家自然科学基金

10971129

2010

10.1007/s11741-010-0671-2

上海大学学报(英文版)
上海大学

上海大学学报(英文版)

影响因子：0.196
ISSN：1007-6417
年,卷(期)：2010.14(6)
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