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Multiplicator space and complemented subspaces of rearrangement invariant space
Luleå University of Technology, Department of Engineering Sciences and Mathematics, Mathematical Science.
Department of Mathematics, Voronezh State University.
2003 (English)In: Journal of Functional Analysis, ISSN 0022-1236, E-ISSN 1096-0783, Vol. 202, no 1, 247-276 p.Article in journal (Refereed) Published
Abstract [en]

We 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

Place, publisher, year, edition, pages
2003. Vol. 202, no 1, 247-276 p.
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URN: urn:nbn:se:ltu:diva-2745DOI: 10.1016/S0022-1236(02)00094-0Local ID: 06f58240-a9fb-11db-aeba-000ea68e967bOAI: diva2:975598
Validerad; 2003; 20070122 (evan)Available from: 2016-09-29 Created: 2016-09-29Bibliographically approved

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Astashkin, Sergey V.Maligranda, Lech
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