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Banach spaces embedding intoL 0

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Abstract

Our main result in this paper is that a Banach spaceX embeds intoL 1 if and only ifl 1(X) embeds intoL 0; more generally if 1≦p<2,X embeds intoL p if and only ifl p(X) embeds intoL 0.

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Authors and Affiliations

  1. Department of Mathematics, University of Missouri — Columbia, 65211, Columbia, MO, USA

    N. J. Kalton

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  1. N. J. Kalton
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Research supported by NSF grant MCS-8301099.

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Kalton, N.J. Banach spaces embedding intoL 0 . Israel J. Math. 52, 305–319 (1985). https://doi.org/10.1007/BF02774083

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  • DOI: https://doi.org/10.1007/BF02774083

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