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Contractive projections in Orlicz sequence spaces

2002/05/08 by Beata Randrianantoanina, Randrianantoanina, Beata
Computer Science · Mathematics · #46B04 #46B20 #46B45 #Advanced Banach Space Theory #Approximation Theory and Sequence Spaces #FOS: Mathematics #Functional Analysis (math.FA) #Optimization and Variational Analysis #math.FA #msc:46B04 #msc:46B20 #msc:46B45

paper · pdf · doi:10.48550/arxiv.math/0205082

14 pages

arxiv created 2002/05/08 · openalex publication_date 2002/05/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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

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