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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (2): 196-207.

• 论文 • 上一篇    下一篇

UGD PROPERTY OF MUSIELAK-ORLICZ SEQUENCE SPACES

王廷辅, 计东海, 曹连英   

  1. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P.R.China
  • 收稿日期:2001-03-27 修回日期:2002-09-13 出版日期:2003-02-18 发布日期:2003-02-18
  • 通讯作者: ZHANG Shi-sheng
  • 基金资助:
    the National Natural Science Foundation of China (10001010);the Education Commission Foundation of Heilongjiang Province

UGD PROPERTY OF MUSIELAK-ORLICZ SEQUENCE SPACES

WANG Ting-fu, JI Dong-hai, CAO Lian-ying   

  1. Department of Mathematics, Harbin University of Science and Technology, Harbin 150080, P.R.China
  • Received:2001-03-27 Revised:2002-09-13 Online:2003-02-18 Published:2003-02-18
  • Supported by:
    the National Natural Science Foundation of China (10001010);the Education Commission Foundation of Heilongjiang Province

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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.

Abstract: 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.

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