Complemented subspaces of L p which embed into ℓ p ⊗ ℓ 2

W. B. Johnson

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

  • page 1-12

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Johnson, W. B.. "Complemented subspaces of $L_p$ which embed into $\ell _p \otimes \ell _2$." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980): 1-12. <http://eudml.org/doc/109226>.

@article{Johnson1979-1980,
author = {Johnson, W. B.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
language = {eng},
pages = {1-12},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Complemented subspaces of $L_p$ which embed into $\ell _p \otimes \ell _2$},
url = {http://eudml.org/doc/109226},
year = {1979-1980},
}

TY - JOUR
AU - Johnson, W. B.
TI - Complemented subspaces of $L_p$ which embed into $\ell _p \otimes \ell _2$
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 12
LA - eng
UR - http://eudml.org/doc/109226
ER -

References

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  1. [1] J. Bourgain, H.P. Rosenthal, and G. Schechtman, An ordinal LP-index for Banach spaces, with application to complemented subspaces of Lp, Zbl0496.46010
  2. [2] W.B. Johnson, Operators into Lp which factor through lp, J. London Math. Soc. (2), 14 (1976), 333-339. Zbl0413.47025MR425667
  3. [3] W.B. Johnson and L. Jones, Every Lp operator is an L 2 operator, Proc. A.M.S.72 (1978), 309-312. Zbl0391.46026MR507330
  4. [4] W.B. Johnson, B. Maurey, G. Schechtman, and L. Tzafriri, Symmetric structures in Banach spaces, Memoirs A.M.S. No. 217 (1979). Zbl0421.46023MR527010
  5. [5] W.B. Johnson and E.W. Odell, Subspaces and quotients of lp⊕l 2 and Xp, Zbl0484.46020
  6. [6] W.B. Johnson and M. Zippin, On subspaces and quotients of (Σ G n)lp and (Σ Gn)co, Israel J. Math.13 (1972), 311-316. Zbl0252.46025
  7. [7] M.I. Kadec and A. Pelczynski, Bases, lacunary sequences, and complemented subspaces in the spaces Lp, Studia Math21 (1962), 161-176. Zbl0102.32202MR152879
  8. [8] J. Lindenstrauss and L. Tzafriri, Classical Banach spaces I, sequence spaces, Springer-Verlag (1977). Zbl0852.46015MR500056
  9. [9] B. Maurey, Théorèms de factorisation pour les opérateurs linéaires a valeurs dans les espaces Lp, Asterisque No. 11, Soc. Math. de France, Paris (1974). Zbl0278.46028MR344931
  10. [10] A. Pelczynski, Projections in certain Banach spaces, Studia Math.19 (1960), 209-228. Zbl0104.08503MR126145
  11. [11] H.P. Rosenthal, On the subspaces of Lp (p &gt; 2) spanned by sequences of independent random variables, Israel J. Math.8 (1970), 273-303. Zbl0213.19303MR271721
  12. [12] G. Schechtman, Examples of Lp spaces, Israel J. Math.22 (1975), 138-147. Zbl0316.46018MR390722
  13. [13] G. Schechtman, A remark on unconditional basic sequences in L p (1 &lt; p &lt; ∞), Israel J. Math.19 (1974), 220-224. Zbl0306.46035

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