WANG Ting-fu, JI Dong-hai, CAO Lian-ying. UGD Property of Musielak-Orlicz Sequence Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(2): 175-184.
Citation: WANG Ting-fu, JI Dong-hai, CAO Lian-ying. UGD Property of Musielak-Orlicz Sequence Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(2): 175-184.

UGD Property of Musielak-Orlicz Sequence Spaces

  • Received Date: 2001-03-27
  • Rev Recd Date: 2002-09-13
  • Publish Date: 2003-02-15
  • By the properties of the Musielak-Orlicz funcitons. sequence, the necessary and sufficient condition for uniform Gateaux differential(UGD) property of Musielak-Orlicz sequence spacesequipped with the Luxemburg norm and a criterion for weakly uniform rotundity of Musielak-Orlicz sequence space with Orlicz nor mare given.
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  • [1]
    Smulian V L.Sur la derivabilite de la norme dans lescape de Banach[J].C R Acad Sci URBC(Doklady),N S,1940,27(3):643-646.
    [2]
    Kaminska A.Rotundity of Orlicz-Musielak sequence space[J].Bull Acad Polish Sci Math,1981,29(3/4):137-144.
    [3]
    WANG Ting-fu,SHI Zhong-rui.On the locally uniformly weak star rotundity of Orlicz space[J].Revista Math Complutense,1994,7(1):79-98.
    [4]
    Kaminske A.Strict convexity of sequence Orlicz-Musielak spaces with Orlicz norm[J].Journal of Functional Analysis,1983,50(3):285-305.
    [5]
    Hudzik Henryk,YE Yi-ning.Support functional and smoothness in Musielak-Orlicz sequence spaces endowed with the Luxemburg norm[J].Comment Math Univ Carolinae,1990,31(4):661-684.
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