Contractive Projections in Orlicz Sequence Spaces

@inproceedings{RANDRIANANTOANINA2002ContractivePI,
  title={Contractive Projections in Orlicz Sequence Spaces},
  author={BEATA RANDRIANANTOANINA},
  year={2002}
}
  • BEATA RANDRIANANTOANINA
  • Published 2002
We characterize norm one complemented subspaces of Orlicz sequence spaces `M equipped with either Luxemburg or Orlicz norm, provided that the Orlicz function M is sufficiently smooth and sufficiently different from the square function. We measure smoothness of M using AC1 and AC2 classes introduced by Maleev and Troyanski in 1991, and the condition for M to be different from a square function is essentially a requirement that the second derivative M ′′ of M cannot have a finite nonzero limit at… CONTINUE READING

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