The dimension of almost spherical sections of convex bodies

J. Lindenstrauss

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1975-1976)

  • page 1-13

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Lindenstrauss, J.. "The dimension of almost spherical sections of convex bodies." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1975-1976): 1-13. <http://eudml.org/doc/109152>.

@article{Lindenstrauss1975-1976,
author = {Lindenstrauss, J.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
language = {eng},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {The dimension of almost spherical sections of convex bodies},
url = {http://eudml.org/doc/109152},
year = {1975-1976},
}

TY - JOUR
AU - Lindenstrauss, J.
TI - The dimension of almost spherical sections of convex bodies
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1975-1976
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - eng
UR - http://eudml.org/doc/109152
ER -

References

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  1. [1] A. Dvoretzky and C.A. Rogers, Absolute and unconditional convergence in normed linear spaces, Proc. Nat. Acad. Sci. U.S.A. 36 (1950), 192-197. Zbl0036.36303MR33975
  2. [2] P. Enflo, J. Lindenstrauss and G. Pisier, On the "three space problem", Math. Scand.36 (1975), 199-210. Zbl0314.46015MR383047
  3. [3] F. John, Extremum problems with inequalities as subsidiary conditions, Courant anniversary volume, New York1948. Zbl0034.10503MR30135
  4. [4] S. Kwapien, Isomorphic characterization of inner product spaces by orthogonal series with vector valued coefficients, Studia Math.44 (1972), 583-595. Zbl0256.46024MR341039
  5. [5] J. Lindenstrauss and L. Tzafriri, On the complemented subspaces problem, Israel J. Math.9 (1971), 263-269. Zbl0211.16301MR276734
  6. [6] P. Lévy, Problèmes concrets d'analyse fonctionnelle, Gauthier Villars, Paris1951. Zbl0043.32302MR41346
  7. [7] B. Maurey and G. Pisier, Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach, to appear in Studia Math. Zbl0344.47014MR443015
  8. [8] V.D. Milman, A new proof of the theorem of A. Dvoretzky on sections of convex bodies, Funct. Anal. Appl.5 (1971), 288-295. Zbl0239.46018MR293374
  9. [9] E. Schmidt, Die Brunn-Minkowski ungleichung, Math. Nach.1 (1948), 81-157. Zbl0030.07602MR28600
  10. [10] E. Tomczak-Jaegermann, The moduli of smoothness and convexity and the Rademacher averages of trace classes Sp, 1 ≤ p @ ∞, Studia Math.1975. Zbl0282.46016

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