Sur les espaces de Banach K -convexes

G. Pisier

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

  • page 1-15

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Pisier, G.. "Sur les espaces de Banach $K$-convexes." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980): 1-15. <http://eudml.org/doc/109245>.

@article{Pisier1979-1980,
author = {Pisier, G.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {K-convex Banach space; complex interpolation; standard Gaussian random variables; hermite polynomials; interpolation couple of complex Banach spaces},
language = {fre},
pages = {1-15},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Sur les espaces de Banach $K$-convexes},
url = {http://eudml.org/doc/109245},
year = {1979-1980},
}

TY - JOUR
AU - Pisier, G.
TI - Sur les espaces de Banach $K$-convexes
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 15
LA - fre
KW - K-convex Banach space; complex interpolation; standard Gaussian random variables; hermite polynomials; interpolation couple of complex Banach spaces
UR - http://eudml.org/doc/109245
ER -

References

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  1. [1] W. Beckner: Inequalities in Fourier analysis, Annals of Math.102 (1975) 159-182. Zbl0338.42017MR385456
  2. [2] Y. Benyamini et Y. Gordon: Factorizations of random operators, à paraître. Zbl0474.47010
  3. [3] A.P. Calderón: Intermediate spaces and interpolation: the complex method, Studia Math.24 (1964) 113-190. Zbl0204.13703MR167830
  4. [4] T. Figiel et N. Tomczak: Projections onto Hilbertian subspaces of Banach spaces, Israel J. Math.33 (1979) 155-171. Zbl0427.46010MR571251
  5. [5] R.C. James: Some self-dual properties of Banach spaces, Annals of Mathematical studies69 (1972) 159-175. Zbl0233.46025MR454600
  6. [6] S. Kwapień: Isomorphic characterizations of inner product spaces by orthogonal series with vector valued coefficients, Studia Math.44 (1972) 583-595. Zbl0256.46024MR341039
  7. [7] J.L. Lions et J. Peetre: Sur une classe d'espaces d'interpolation, Publications Math. de l'IHES No 19 (1962). Zbl0148.11403
  8. [8] B. Maurey et G. Pisier: Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach, Studia Math.58 (1976) 45-90. Zbl0344.47014MR443015
  9. [9] J. Neveu: Processus aléatoires gaussiens, Presses de l'Université de Montréal, 1968. Zbl0192.54701MR272042
  10. [10] G. Pisier: Un théorème sur les opérateurs entre espaces de Banach qui se factorisent par un Hilbert, à paraître aux Annales de l'ENS. Zbl0436.47013
  11. [11] Séminaire Maurey-Schwartz 1973-74, Ecole Polytechnique, Paris. 
  12. [12] Séminaire Maurey-Schwartz 1974-75, Ecole Polytechnique, Paris. Zbl0345.28008
  13. [13] Séminaire sur la géométrie des espaces de Banach 1977-78, Ecole Polytechnique, Palaiseau. Zbl0377.00009
  14. [14] Séminaire d'Analyse Fonctionnelle 1978-79, Ecole Polytechnique, Palaiseau. Zbl0401.00011
  15. [15] E.M. Stein: Topics in harmonic analysis related to the Littlewood-Paley theory, Annals of Math. Studies No 63, Princeton (1970). Zbl0193.10502MR252961

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