TY - JOUR
T1 - Subspaces of l p N of small codimension
AU - Gluskin, E. D.
AU - Tomczak-Jaegermann, N.
AU - Tzafriri, L.
PY - 1992/10
Y1 - 1992/10
N2 - In this paper the structure of subspaces and quotients of l p N of dimension very close to N is studied, for 1≤p≤∞. In particular, the maximal dimension k=k(p, m, N) so that an arbitrary m-dimensional subspace X of l p N contains a good copy of l p k, is investigated for m=N-o(N). In several cases the obtained results are sharp.
AB - In this paper the structure of subspaces and quotients of l p N of dimension very close to N is studied, for 1≤p≤∞. In particular, the maximal dimension k=k(p, m, N) so that an arbitrary m-dimensional subspace X of l p N contains a good copy of l p k, is investigated for m=N-o(N). In several cases the obtained results are sharp.
UR - http://www.scopus.com/inward/record.url?scp=51249167319&partnerID=8YFLogxK
U2 - 10.1007/BF02808214
DO - 10.1007/BF02808214
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AN - SCOPUS:51249167319
SN - 0021-2172
VL - 79
SP - 173
EP - 192
JO - Israel Journal of Mathematics
JF - Israel Journal of Mathematics
IS - 2-3
ER -