Some remarks on symmetric basic sequences in L1

B. Maurey; G. Schechtman

Compositio Mathematica (1979)

  • Volume: 38, Issue: 1, page 67-76
  • ISSN: 0010-437X

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Maurey, B., and Schechtman, G.. "Some remarks on symmetric basic sequences in L1." Compositio Mathematica 38.1 (1979): 67-76. <http://eudml.org/doc/89395>.

@article{Maurey1979,
author = {Maurey, B., Schechtman, G.},
journal = {Compositio Mathematica},
keywords = {unconditional basic sequence; symmetric basic sequence; block basis with constant coefficients},
language = {eng},
number = {1},
pages = {67-76},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Some remarks on symmetric basic sequences in L1},
url = {http://eudml.org/doc/89395},
volume = {38},
year = {1979},
}

TY - JOUR
AU - Maurey, B.
AU - Schechtman, G.
TI - Some remarks on symmetric basic sequences in L1
JO - Compositio Mathematica
PY - 1979
PB - Sijthoff et Noordhoff International Publishers
VL - 38
IS - 1
SP - 67
EP - 76
LA - eng
KW - unconditional basic sequence; symmetric basic sequence; block basis with constant coefficients
UR - http://eudml.org/doc/89395
ER -

References

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  1. [1] J. Bretagnolle, D. Dacunha-Castelle and J.L. Krivine: Lois stable et espaces LP, Ann. Inst. Henri Poincaré, série B, 2 (1966) 231-263. Zbl0139.33501MR203757
  2. [2] D. Dacunha-Castelle: "Variables aléatoires échangeable et espaces d'Orlicz." Séminaire Maurey-Schwartz, École Polytechnique (1974-1975). Zbl0334.46029
  3. [3] D. Dacunha-Castelle and J.L. Krivine: Sous-espaces de L1, Israel J. Math., 26 (1977) 320-351. Zbl0344.46051MR626845
  4. [4] W.J. Davis: Embedding spaces with unconditional bases, Israel J. Math., 20 (1975) 189-191. Zbl0311.46012MR454602
  5. [5] W.J. Davis, T. Figiel, W.B. Johnson and A. Pelczynski: Factoring weakly compact operators, J. Funct. Anal., 17 (1974) 311-327. Zbl0306.46020MR355536
  6. [6] E. Dubinsky, A. Pelczynski and H.P. Rosenthal: On Banach spaces X for which π(L∞, X) = B(L∞, X), Studia Math., 44 (1972) 617-648. Zbl0262.46018
  7. [7] T. Figiel and W.B. Johnson: A uniformly convex Banach space which contains no lp, Compositio Math., 29 (1974) 179-190. Zbl0301.46013MR355537
  8. [8] J. Lindenstrauss: A remark on symmetric bases, Israel J. Math., 13 (1972) 317-320. Zbl0252.46027MR331024
  9. [9] J. Lindenstrauss and L. Tzafriri: Classical Banach spaces. Lecture Notes in Mathematics338. Springer, Berlin etc. (1973). Zbl0259.46011MR415253
  10. [10] J. Lindenstrauss and L. Tzafriti: Classical Banach Spaces, sequence, spaces. Springer, Berlin. Zbl0852.46015
  11. [11] A. Pelczynski: Projections in certain Banach spaces, Studia Math., 19 (1960) 209-228. Zbl0104.08503MR126145
  12. [12] 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
  13. [13] H.P. Rosenthal: On subspaces of Lp, Ann. Math., 97 (1973) 344-373. Zbl0253.46049MR312222
  14. [14] G. Schechtman: On Pelczynski's paper "Universal bases", Israel J. Math., 22 (1975) 181-184. Zbl0316.46014MR390730
  15. [ 15] A. Szankowski: Embedding Banach spaces with unconditional bases into spaces with symmetric bases, Israel J. Math., 15 (1973) 53-59. Zbl0265.46020MR425588

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