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Multiplicator space and complemented subspaces of rearrangement invariant space

By S.V. Astashkin, L. Maligranda and E.M. Semenov

Abstract

AbstractWe show that the multiplicator space M(X) of an rearrangement invariant (r.i.) space X on [0,1] and the nice part N0(X) of X, that is, the set of all a∈X for which the subspaces generated by sequences of dilations and translations of a are uniformly complemented, coincide when the space X is separable. In the general case, the nice part is larger than the multiplicator space. Several examples of descriptions of M(X) and N0(X) for concrete X are presented

Publisher: Elsevier Inc.
Year: 2003
DOI identifier: 10.1016/S0022-1236(02)00094-0
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