Subspaces ofl
p
N
of small codimension |
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| Authors: | E D Gluskin N Tomczak-Jaegermann L Tzafriri |
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| Institution: | (1) Department of Mathematics Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University, Tel Aviv, Israel;(2) Department of Mathematics, University of Alberta, T6G 2G1 Edmonton, Alberta, Canada;(3) Department of Mathematics, The Hebrew University, 91904 Jerusalem, Israel |
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| Abstract: | In this paper the structure of subspaces and quotients ofl
p
N
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
p
N
contains a good copy ofl
p
k
, is investigated form=N−o(N). In several cases the obtained results are sharp. |
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| Keywords: | |
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