Onl p-complemented copies in Orlicz spaces |
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Authors: | Francisco L. Hernández Baltasar Rodríguez-Salinas |
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Affiliation: | (1) Depto. Análisis Matemático, Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain |
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Abstract: | Let 1<α≦β<∞ andF be an arbitrary closed subset of the interval [α,β]. An Orlicz sequence spacel φ (resp. an Orlicz function spaceL φ(μ)) with associated indices α and β is found in such a way that the set of valuesp for which thel p-space is isomorphic to a complemented subspace ofl φ (resp.L φ(μ)) is precisely the given setF (resp.F ∪ {2}). Also, a recent result of Hernández and Peirats [1] is extended showing that, even for the case in which the indices satisfy αφ ∞<2<βφ ∞, there exist minimal Orlicz function spacesL φ(μ) with no complemented copy ofl p for anyp ≠ 2. Supported in part by CAICYT grant 0338-84. |
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