Some estimates for type and cotype constants

H. König

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980)

  • page 1-13

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König, H.. "Some estimates for type and cotype constants." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980): 1-13. <http://eudml.org/doc/109237>.

@article{König1979-1980,
author = {König, H.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {type and cotype constants; (q,2)-summing norms; Gaussian type and cotype; Rademacher type constants},
language = {eng},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Some estimates for type and cotype constants},
url = {http://eudml.org/doc/109237},
year = {1979-1980},
}

TY - JOUR
AU - König, H.
TI - Some estimates for type and cotype constants
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - eng
KW - type and cotype constants; (q,2)-summing norms; Gaussian type and cotype; Rademacher type constants
UR - http://eudml.org/doc/109237
ER -

References

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  1. [1] J. Bergh, J. Löfström: Interpolation spaces, Springer, 1976. Zbl0344.46071MR482275
  2. [2] T. Figiel, J. Lindenstrauss, V. Milman: The dimension of almost spherical sections of convex bodies, Acta Math., 139 (1977), 53-94. Zbl0375.52002MR445274
  3. [3] U. Haagerup: The best constants in the Khintchine inequality, Odense Universitet, preprint 5, 1979. 
  4. [4] H. König, J.R. Retherford, N. Tomczak-Jaegermann: Eigenvalues of (p,2)-summing operators and constants associated with normed spaces, to appear in J. Funct. Anal. Zbl0434.47033MR576647
  5. [5] J. Lindenstrauss, L. Tzafriri: Classical Banach spaces, II, Springer, 1978. Zbl0852.46015MR540367
  6. [6] B. Maurey: Une nouvelle caractérisation des applications (p,q)-sommantes, Séminaire Maurey-Schwartz 1973-74, Exposé XII. Zbl0295.47029MR420319
  7. [7] B. Maurey, G. Pisier: Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach, Studia Math.58 (1976), 45-90. Zbl0344.47014MR443015
  8. [8] A. Peczynski: Geometry of finite dimensional Banach spaces and operator ideals, in: Notes in Banach spaces, Univ. of Texas Press (1980). Zbl0461.46014MR606222
  9. [9] G. Pisier: Types des espaces normés, Note auxC. R. Acad. Sc. Paris, t. 276 (1973), 1673-1674. Zbl0257.46015
  10. [10] N. Tomczak-Jaegermann: Computing 2-summing norm with few vectors, Arkiv för Math.17 (1979), 273-277. Zbl0436.47033MR608320

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