Contractive projections in Orlicz sequence spaces

Details Contractive projections in Orlicz sequence spaces Contractive projections in Orlicz sequence spaces

2002-05-08

arxiv.org/abs/math/0205082v1

Mathematics

Functional Analysis

14 pages

Scientific paper

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. This paper concentrates on the more difficult real case, the
complex case follows from previously known results.

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