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Rearrangement invariant subspaces of Lorentz function spaces

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Abstract

The main result is that for 2≦q≦p<∞ the only subspaces of the Lorentz function spaceL pq [0, 1] which are isomorphic to r.i. function spaces on [0, 1] are, up to equivalent renormings,L pq [0, 1] andL 2[0, 1].

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Authors and Affiliations

  1. Department of Mathematics, The Ohio State University, 43210, Columbus, OH, USA

    N. L. Carothers

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  1. N. L. Carothers
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Carothers, N.L. Rearrangement invariant subspaces of Lorentz function spaces. Israel J. Math. 40, 217–228 (1981). https://doi.org/10.1007/BF02761363

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  • DOI: https://doi.org/10.1007/BF02761363

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