The class of Banach spaces, which do not have c0 as a spreading model, is not L2-hereditary

Walter Schachermayer

Annales de l'I.H.P. Probabilités et statistiques (1983)

  • Volume: 19, Issue: 1, page 1-8
  • ISSN: 0246-0203

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Schachermayer, Walter. "The class of Banach spaces, which do not have c0 as a spreading model, is not L2-hereditary." Annales de l'I.H.P. Probabilités et statistiques 19.1 (1983): 1-8. <http://eudml.org/doc/77196>.

@article{Schachermayer1983,
author = {Schachermayer, Walter},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {spreading model; negation of the Banach-Saks-property},
language = {eng},
number = {1},
pages = {1-8},
publisher = {Gauthier-Villars},
title = {The class of Banach spaces, which do not have c0 as a spreading model, is not L2-hereditary},
url = {http://eudml.org/doc/77196},
volume = {19},
year = {1983},
}

TY - JOUR
AU - Schachermayer, Walter
TI - The class of Banach spaces, which do not have c0 as a spreading model, is not L2-hereditary
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1983
PB - Gauthier-Villars
VL - 19
IS - 1
SP - 1
EP - 8
LA - eng
KW - spreading model; negation of the Banach-Saks-property
UR - http://eudml.org/doc/77196
ER -

References

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  1. [1] A. Baernstein, On reflexivity and summability; Studia Math., t. 42, 1972, p. 91-94. Zbl0228.46014MR305044
  2. [2] B. Beauzamy, Banach Saks properties and spreading models; Math. Scand., t. 44, 1979, p. 357-384. Zbl0427.46007MR555227
  3. [3] S. Guerre, La propriété de Banach-Saks ne passe pas de E à L2(E) ; Séminaire sur la géométrie des espaces de Banach, École Polytechnique. Zbl0454.46021
  4. [4] S. Guerre, J.-Th. Lapresté, Quelques propriétés des modèles étalés sur les espaces de Banach, Ann. Inst. H. Poincaré, t. XVI, n° 4, 1980, p. 339-347 Zbl0454.46017MR603327
  5. [5] J.-Th. Lapresté, Sur une propriété des suites asymptotiquement inconditionnelles, Séminaire sur la géométrie des espaces de Banach, École Polytechnique, 1978/ 1979, exposé XXX. Zbl0409.46019MR557382
  6. [6] W. Schachermayer, The Banach-Saks property is not L2-hereditary, to appear in the Israel Journal. Zbl0486.46021

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