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Subspaces ofl Np of small codimension

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Abstract

In this paper the structure of subspaces and quotients ofl Np of dimension very close toN is studied, for 1≤p≤∞. In particular, the maximal dimensionk=k(p, m, N) so that an arbitrarym-dimensional subspaceX ofl Np contains a good copy ofl kp , is investigated form=N−o(N). In several cases the obtained results are sharp.

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Authors and Affiliations

  1. Department of Mathematics Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel

    E. D. Gluskin

  2. Department of Mathematics, University of Alberta, T6G 2G1, Edmonton, Alberta, Canada

    N. Tomczak-Jaegermann

  3. Department of Mathematics, The Hebrew University, 91904, Jerusalem, Israel

    L. Tzafriri

Authors
  1. E. D. Gluskin
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  2. N. Tomczak-Jaegermann
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  3. L. Tzafriri
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Gluskin, E.D., Tomczak-Jaegermann, N. & Tzafriri, L. Subspaces ofl Np of small codimension. Israel J. Math. 79, 173–192 (1992). https://doi.org/10.1007/BF02808214

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  • DOI: https://doi.org/10.1007/BF02808214

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