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Orlicz sequence spaces that are uniformly rotund in a weakly compact set of directions

Tom 107 / 2007

Zhongrui Shi, YuanDi Wang, Ge Dong Colloquium Mathematicum 107 (2007), 21-34 MSC: 46B20, 46E30. DOI: 10.4064/cm107-1-4

Streszczenie

Necessary and sufficient conditions are given for Orlicz sequence spaces equipped with the Orlicz norm to be uniformly rotund in a weakly compact set of directions, using only conditions on the generating function of the space.

Autorzy

  • Zhongrui ShiDepartment of Mathematics
    ShangHai University
    ShangHai 200444, P.R. China
    e-mail
  • YuanDi WangDepartment of Mathematics
    ShangHai University
    ShangHai 200444, P.R. China
  • Ge DongDepartment of Mathematics
    ShangHai University
    ShangHai 200444, P.R. China

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