Contractive projections in Orlicz sequence spaces
Randrianantoanina, Beata
Abstr. Appl. Anal., Tome 2004 (2004) no. 1, p. 133-145 / Harvested from Project Euclid
We characterize norm-one complemented subspaces of Orlicz sequence spaces $\ell_M$ 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 $AC^1$ and $AC^2$ 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.
Publié le : 2004-03-17
Classification:  46B45,  46B04
@article{1081267504,
     author = {Randrianantoanina, Beata},
     title = {Contractive projections in Orlicz sequence spaces},
     journal = {Abstr. Appl. Anal.},
     volume = {2004},
     number = {1},
     year = {2004},
     pages = { 133-145},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1081267504}
}
Randrianantoanina, Beata. Contractive projections in Orlicz sequence spaces. Abstr. Appl. Anal., Tome 2004 (2004) no. 1, pp.  133-145. http://gdmltest.u-ga.fr/item/1081267504/