Subspaces of L p which do not contain L p -isomorphically

H. P. Rosenthal

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1978-1979)

  • page 1-9

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Rosenthal, H. P.. "Subspaces of $L^p$ which do not contain $L^p$-isomorphically." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1978-1979): 1-9. <http://eudml.org/doc/109210>.

@article{Rosenthal1978-1979,
author = {Rosenthal, H. P.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {subspaces of Lp; isomorphism; unconditional Schauder decomposition; complemented subspace; block basic sequence; atomless probability space; independent sums},
language = {eng},
pages = {1-9},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Subspaces of $L^p$ which do not contain $L^p$-isomorphically},
url = {http://eudml.org/doc/109210},
year = {1978-1979},
}

TY - JOUR
AU - Rosenthal, H. P.
TI - Subspaces of $L^p$ which do not contain $L^p$-isomorphically
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1978-1979
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 9
LA - eng
KW - subspaces of Lp; isomorphism; unconditional Schauder decomposition; complemented subspace; block basic sequence; atomless probability space; independent sums
UR - http://eudml.org/doc/109210
ER -

References

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  1. [1] J. Bourgain: On separable Banach spaces, universal for all separable reflexive spaces, to appear. Zbl0438.46005MR565347
  2. [2] C. Dellacherie: Les dérivations en théorie descriptive des ensembles et le théorème de la borne, Séminaire de Probas. XI, Université de Strasbourg, Lecture Notes No 581, pp. 34-46, Springer1977. Zbl0366.02045MR454942
  3. [3] W. Johnson, B. Maurey, G. Schechtman and L. Tzafriri: Symmetric structures in Banach spaces, Memoirs A.M.S. (to appear). Zbl0421.46023MR527010
  4. [4] H.P. Rosenthal: On the span in Lp of sequences of independent random variables (II), Proc. 6-thBerkeley Symp. on Math. Stat. and Prob., vol. II (1972), pp. 149-167. Zbl0255.60003MR440354
  5. [5] H.P. Rosenthal: On applications of the boundedness principle to Banach space theory, according to J. Bourgain, Séminaire d'Initiation à l'Analyse, Paris VI (1979) (to appear). Zbl0485.46011MR670762
  6. [6] H.P. Rosenthal and G. Schechtman, to appear. 
  7. [7] G. Schechtman: Examples of Lp -spaces (1 &lt; p &lt; ∞, p≠2), Israel J. Math. Zbl0316.46018

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