Contractive projections in Orlicz sequence spaces

Beata Randrianantoanina

Abstract and Applied Analysis, 2004, vol. 2004, issue 2, 133-145

Abstract: We characterize norm‐one complemented subspaces of Orlicz sequence spaces ℓM 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 zero. This paper treats the real case; the complex case follows from previously known results.

Date: 2004
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https://doi.org/10.1155/S108533750431105X

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2004:y:2004:i:2:p:133-145

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