More on embedding subspaces of L p in l r n

Gideon Schechtman

Compositio Mathematica (1987)

  • Volume: 61, Issue: 2, page 159-169
  • ISSN: 0010-437X

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Schechtman, Gideon. "More on embedding subspaces of $L_p$ in $l^n_r$." Compositio Mathematica 61.2 (1987): 159-169. <http://eudml.org/doc/89819>.

@article{Schechtman1987,
author = {Schechtman, Gideon},
journal = {Compositio Mathematica},
keywords = {embeddings of finite dimensional subspaces of into ; K-embeddings},
language = {eng},
number = {2},
pages = {159-169},
publisher = {Martinus Nijhoff Publishers},
title = {More on embedding subspaces of $L_p$ in $l^n_r$},
url = {http://eudml.org/doc/89819},
volume = {61},
year = {1987},
}

TY - JOUR
AU - Schechtman, Gideon
TI - More on embedding subspaces of $L_p$ in $l^n_r$
JO - Compositio Mathematica
PY - 1987
PB - Martinus Nijhoff Publishers
VL - 61
IS - 2
SP - 159
EP - 169
LA - eng
KW - embeddings of finite dimensional subspaces of into ; K-embeddings
UR - http://eudml.org/doc/89819
ER -

References

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  1. Ball, K.: Isometric embedding in lp spaces. Preprint (1984). MR1067200
  2. Bennett, G., Dor, L.E., Goodman, V., Johnson, W.B. and Newman, C.M.: On uncomplemented subspaces of Lp, 1 &lt; p &lt; 2. Israel J. Math.26 (1977) 178-187. Zbl0339.46022MR435822
  3. Figiel, T., Lindenstrauss, J. and Milman, V.D.: The dimension of almost spherical sections of convex bodies. Acta Math.139 (1977) 53-94. Zbl0375.52002MR445274
  4. Johnson, W.B. and Schechtman, G.: Embedding lmp into ln1. Acta Math.149 (1982) 71-85. Zbl0522.46015MR674167
  5. Lewis, D.R.: Finite dimensional subspaces of Lp. Studia Math.63 (1978) 207-212. Zbl0406.46023MR511305
  6. Maurey, B.: Théorèmes de Factorisation pour les Opérateurs à Valeurs dans un Espace Lp. Astérisque Soc. Math. France # 11 (1974). Zbl0278.46028MR344931
  7. Maurey, B. and Pisier, G.: Séries de variables aléatoires vectorielles indépendentes et propriétés géométriques des espaces de Banach. Studia Math.58 (1976) 45-90. Zbl0344.47014MR443015
  8. Milman, V.D. and Schechtman, G.: Asymptotic Theory of Finite Dimensional Normed Spaces. Lecture Notes in Math. 1200Springer, (1986). Zbl0606.46013MR856576
  9. Pisier, G.: On the dimension of the lnp-subspaces of Banach spaces, for 1 ≤ p &lt; 2. Trans. A.M.S.276 (1983) 201-211. Zbl0509.46016
  10. Schechtman, G.: Fone embeddings of finite dimensional subspaces of Lp, 1 ≤ p &lt; 2, into finite dimensional normed spaces II. Longhorn Notes. Univ. of Texas (1984/85). 
  11. Schechtman, G.: Fine embeddings of finite dimensional subspaces of Lp, 1 ≤ p &lt; 2, into lm1. Proc. A.M.S.94 (1985) 617-623. Zbl0597.46019

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