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

The Rademacher series in rearrangement invariant function spaces close 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...

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Bibliographic Details
Main Author: Sergey V. Astashkin
Format: Article
Language:English
Published: Wiley 2001-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/S0161171201010663
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