Notes of k-smoothness in Orlicz sequence spaces  

作　　者：刘春燕 石忠锐 

机构地区：[1]Department of Mathematics,College of Sciences,Shanghai University

出　　处：《Journal of Shanghai University(English Edition)》2010年第6期420-423,共4页上海大学学报（英文版）

基　　金：Project supported by the National Natural Science Foundation of China (Grant No.10971129)

摘　　要：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 l M and l （M ） are obtained, respectively. Finally, we give the counterexamples which show that previous results are not true.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 l M and l （M ） are obtained, respectively. Finally, we give the counterexamples which show that previous results are not true.

关 键 词：Orlicz sequence space k-smoothness k-smooth point Orlicz norm Luxemburg norm 

分 类 号：O177[理学—数学]