On spaces with local unconditional structure

N. Ghoussoub

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

  • page 1-8

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Ghoussoub, N.. "On spaces with local unconditional structure." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1979-1980): 1-8. <http://eudml.org/doc/109233>.

@article{Ghoussoub1979-1980,
author = {Ghoussoub, N.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {spaces with local unconditional structure; complemented subspace; Banach lattice; l.u.s.t.; weak Radon-Nikodym property; Dunford-Pettis},
language = {eng},
pages = {1-8},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {On spaces with local unconditional structure},
url = {http://eudml.org/doc/109233},
year = {1979-1980},
}

TY - JOUR
AU - Ghoussoub, N.
TI - On spaces with local unconditional structure
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1979-1980
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 8
LA - eng
KW - spaces with local unconditional structure; complemented subspace; Banach lattice; l.u.s.t.; weak Radon-Nikodym property; Dunford-Pettis
UR - http://eudml.org/doc/109233
ER -

References

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  1. [1] J. Bourgain, H.P. Rosenthal: Martingales valued in certain subspaces of L1, Preprint (1979). 
  2. [2] J. Diestel, J. Jr. Uhl: Vector measures, A.M.S. Surveys15, Providence (1977). Zbl0369.46039MR453964
  3. [3] P. Enflo, T. Starbird: Subspaces of L1 containing L1, Preprint. Zbl0433.46027
  4. [4] N. Ghoussoub and W. Johnson: To appear (1980). 
  5. [5] N. Ghoussoub and M. Talagrand: Order dentability and the Radon-Nikodym property in Banach lattices, Math. Annalen243 (1979), 217-225. Zbl0396.60044MR548802
  6. [6] N. Ghoussoub and E. Saab: On the weak Radon-Nikodym property, P Proc. of A.M.S., (to appear) (1980). Zbl0475.46017MR589141
  7. [7] N. Ghoussoub: Dunford-Pettis and order dentable operators on L1, (to appear) (1980). 
  8. [8] Y. Gordon and D.R. Lewis: "Absolutely summing operators and local unconditional structure", Acta Math. Zbl0291.47017MR410341
  9. [9] J. Hagler and C. Stegall: Banach spaces whose duals contain complemented subspaces isomorphic to C[0,1]*, J. Funct. Anal.13, 233-251 (1973). Zbl0265.46019MR350381
  10. [10] N. Kalton: "Embedding L1 in a Banach lattice", Preprint (1978). Zbl0396.46016
  11. [11] J. Lindenstrauss and L. Tzafriri: Classical Banach spaces I- Sequence spaces, Springer Verlag No 92 (1977). Zbl0362.46013MR500056
  12. [12] J. Lindenstrauss and L. Tzafriri: Classical Banach spaces II- Function spaces, Springer Verlag (1979). Zbl0852.46015MR540367
  13. [13] Lotz, H.P.Rosenthal: Embeddings of C(Δ) and L1[0,1] in Banach lattices, Israel J. Math. (to appear) (1979). 
  14. [14] H.P. Rosenthal: Convolution by a biased coin, AltgeldBook (1975-76) 
  15. [15] H.P. Rosenthal: On factors of C[0,1] with non-separable dual, Israel J. Math.13 (1975) 361-378. Zbl0253.46048MR388063
  16. [16] M. Talagrand: Sur la propriété de Radon-Nikodym dans les espaces de Banach réticulés, C. R. Acad. Sc. (1979). Zbl0422.46018MR542637

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