UGD PROPERTY OF MUSIELAK-ORLICZ SEQUENCE SPACES  

作　　者：王廷辅 计东海 曹连英 

机构地区：[1]DepartmentofMathematicsHarbinUniversityofScienceandTechnology

出　　处：《Applied Mathematics and Mechanics(English Edition)》2003年第2期196-207,共12页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina( 10001010),theEducationCommissionFoundationofHeilongjiangProvince

摘　　要：By the properties of the Musielak_Orlicz funciton's sequence, the necessary and sufficient condition for uniform Gateaux differential (UGD) property of Musielak_Orlicz sequence spaces equipped with the Luxemburg norm and a criterion for weakly uniform rotundity of Musielak_Orlicz sequence space with Orlicz norm are given.By the properties of the Musielak_Orlicz funciton's sequence, the necessary and sufficient condition for uniform Gateaux differential (UGD) property of Musielak_Orlicz sequence spaces equipped with the Luxemburg norm and a criterion for weakly uniform rotundity of Musielak_Orlicz sequence space with Orlicz norm are given.

关 键 词：Musielak_Orlicz sequence space uniform Gateaux differentiability weakly uniform rotundity 

分 类 号：O177.3[理学—数学]