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About interpolation of subspaces of reaarangement invariant spaces generated by Rademacher system

2000/07/19 by С. В. Асташкин, S. V. Astashkin, Astashkin, S. V.
Engineering · Mathematics · #42A55 (secondary) #46B40 #46B70 (primary) #Advanced Numerical Analysis Techniques #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Functional Analysis (math.FA) #math.CA #math.FA #msc:42A55 #msc:46B40 #msc:46B70

paper · pdf · doi:10.48550/arxiv.math/0007117

15 pages

arxiv created 2000/07/19 · openalex publication_date 2000/07/19 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The Rademacher series in rearrangement invariant function spaces "closed" to the space L_∞ are considered. In terms of interpolation theory of operators a correspondence between such spaces and spaces of coefficients generated by them is stated. It is proved that this correspondence is one-to-one. Some examples and applications are presented.

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