Contractive projections in Orlicz sequence spaces

Beata Randrianantoanina

Abstract and Applied Analysis, 2004, vol. 2004, 1-13

Abstract:

We characterize norm-one complemented subspaces of Orlicz sequence spaces ℓ 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 A C 1 and A C 2 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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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:941917

DOI: 10.1155/S108533750431105X

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