A restricted form of the theorem of Maurey-Pisier for the cotype in p -Banach spaces

J. Bastero

Annales de l'I.H.P. Probabilités et statistiques (1982)

  • Volume: 18, Issue: 3, page 293-304
  • ISSN: 0246-0203

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Bastero, J.. "A restricted form of the theorem of Maurey-Pisier for the cotype in $p$-Banach spaces." Annales de l'I.H.P. Probabilités et statistiques 18.3 (1982): 293-304. <http://eudml.org/doc/77189>.

@article{Bastero1982,
author = {Bastero, J.},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {finite representation; finite factorization; p-Banach space; Rademacher cotype},
language = {eng},
number = {3},
pages = {293-304},
publisher = {Gauthier-Villars},
title = {A restricted form of the theorem of Maurey-Pisier for the cotype in $p$-Banach spaces},
url = {http://eudml.org/doc/77189},
volume = {18},
year = {1982},
}

TY - JOUR
AU - Bastero, J.
TI - A restricted form of the theorem of Maurey-Pisier for the cotype in $p$-Banach spaces
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1982
PB - Gauthier-Villars
VL - 18
IS - 3
SP - 293
EP - 304
LA - eng
KW - finite representation; finite factorization; p-Banach space; Rademacher cotype
UR - http://eudml.org/doc/77189
ER -

References

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  1. [1] D. Dacunha-Castelle and J.L. Krivine, Applications des ultraproduits à l'étude des spaces de Banach. Studia Math., t. 41, 1972, p. 315-334. Zbl0275.46023MR305035
  2. [2] N.J. Kalton, The convexity type of quasi-Banach spaces. Unpublished paper. Zbl1059.46004
  3. [3] J.L. Krivine, Sous-espaces de dimension finie des espaces de Banach rèticulés. Ann. Math., t. 104, 1976, p. 1-29. Zbl0329.46008MR407568
  4. [4] B. Maurey, Type et cotype dans les espaces munis de structures locales inconditionnelles. Sem. École Polytechnique, 1973-1974, Exp. XXIV et XXV. Palaiseau. Zbl0321.46013MR399796
  5. [5] B. Maurey, G. Pisier, Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach. Studia Math., t. 58, 1976. p. 45-90. Zbl0344.47014MR443015
  6. [6] V.D. Milman, M. Sharir, A new proof of the Maurey-Pisier theorem. Israel J. of Math., t. 33-1, 1979, 74-87. Zbl0418.46010MR571585
  7. [7] H.P. Rosenthal, On a theorem of J. L. Krivine concerning block finite representability of lP in general Banach Spaces. J. of Funct. Anal., t. 28 (2), 1978, p. 197-225. Zbl0387.46016MR493384

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