Cotype for p-Banach spaces

Jesús Bastero; Zenaida Uriz

Compositio Mathematica (1986)

  • Volume: 57, Issue: 1, page 73-80
  • ISSN: 0010-437X

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Bastero, Jesús, and Uriz, Zenaida. "Cotype for p-Banach spaces." Compositio Mathematica 57.1 (1986): 73-80. <http://eudml.org/doc/89750>.

@article{Bastero1986,
author = {Bastero, Jesús, Uriz, Zenaida},
journal = {Compositio Mathematica},
keywords = {p-convex norm; p-Banach space; cotype; Rademacher functions; theorem of Maurey and Pisier},
language = {eng},
number = {1},
pages = {73-80},
publisher = {Martinus Nijhoff Publishers},
title = {Cotype for p-Banach spaces},
url = {http://eudml.org/doc/89750},
volume = {57},
year = {1986},
}

TY - JOUR
AU - Bastero, Jesús
AU - Uriz, Zenaida
TI - Cotype for p-Banach spaces
JO - Compositio Mathematica
PY - 1986
PB - Martinus Nijhoff Publishers
VL - 57
IS - 1
SP - 73
EP - 80
LA - eng
KW - p-convex norm; p-Banach space; cotype; Rademacher functions; theorem of Maurey and Pisier
UR - http://eudml.org/doc/89750
ER -

References

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  1. [1] J. Bastero: A restricted form of the theorem of Maurey-Pisier for the cotype in p-Banach spaces. Anns. Ins. Henri Poincaré -B-XVIII (3) (1982), 293-304. Zbl0486.46016MR663423
  2. [2] A. Brunel and L. Sucheston: On J-convexity and ergodic super-properties of Banach spaces. Trans. A.M.S.204 (1975) 79-90. Zbl0273.46013MR380361
  3. [3] J.P. Kahane: Series of random functions. Heath. Math. Monog.Mass.: Health and Co.1968. 
  4. [4] N.J. Kalton: The convexity type of quasi-Banach spaces. (unpublished paper). Zbl1059.46004
  5. [5] J.L. Krivine: Sous-espaces the dimensión finie des espaces de Banach réticulés. Annals of Math.104 (1976) 1-29. Zbl0329.46008MR407568
  6. [6] B. Maurey and G. Pisier: Séries de variables aléatoires vectorielles indépendantes et propietés géométriques des espaces de Banach. Studia Math.58 (1976) 45-90. Zbl0344.47014MR443015
  7. [7] V. Milman and M. Sharir: A new proof of the Maurey-Pisier Theorem. Israel J. of Math.33 (1979) 73-87. Zbl0418.46010MR571585
  8. [8] G. Pisier: On the dimension of the lnp-subspaces of Banach spaces, for 1 ≤ p &lt; 2. TAMS 276 (1983) 201-212. Zbl0509.46016
  9. [9] Z. Uriz: Una nota sobre espacios p-Banach isomorfos a c0. Actas IX Jornadas Matemáticas Hispano-Lusas, 1. Univ. Salamanca (1982) 405-408. 

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