Subspaces ofl p N of small codimension
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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.
KeywordsBanach Space Convex Body Dimensional Subspace Universal Constant Isomorphic Copy
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