Lattice-embeddingL p into Orlicz spaces |
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Authors: | Francisco L. Hernández Baltasar Rodríguez-Salinas |
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Affiliation: | (1) Departamento de Análisis Matemático Facultad de Matemáticas, Universidad Complutense, 28040 Madrid, Spain |
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Abstract: | Given 0<α≤p≤β<∞, we construct Orlicz function spacesL F [0, 1] with Boyd indicesα andβ such thatL p is lattice isomorphic to a sublattice ofL F [0, 1]. Forp>2 this shows the existence of (non-trivial) separable r.i. spaces on [0, 1] containing an isomorphic copy ofL p . The discrete case of Orlicz spaces ℓ F (I) containing an isomorphic copy of ℓ p (Γ) for uncountable sets Γ ⊂I is also considered. Supported in part by DGICYT, grant PB91-0377. |
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