Sous-espaces complémentés de L p [ 0 , 1 ]

Michèle Capon

Séminaire Choquet. Initiation à l'analyse (1977)

  • Volume: 17, Issue: 2, page 1-7

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Capon, Michèle. "Sous-espaces complémentés de $L^p [0 , 1]$." Séminaire Choquet. Initiation à l'analyse 17.2 (1977): 1-7. <http://eudml.org/doc/110575>.

@article{Capon1977,
author = {Capon, Michèle},
journal = {Séminaire Choquet. Initiation à l'analyse},
keywords = {Lp-Space; Skript Lp-Space; Complemented Subspace},
language = {fre},
number = {2},
pages = {1-7},
publisher = {Secrétariat mathématique},
title = {Sous-espaces complémentés de $L^p [0 , 1]$},
url = {http://eudml.org/doc/110575},
volume = {17},
year = {1977},
}

TY - JOUR
AU - Capon, Michèle
TI - Sous-espaces complémentés de $L^p [0 , 1]$
JO - Séminaire Choquet. Initiation à l'analyse
PY - 1977
PB - Secrétariat mathématique
VL - 17
IS - 2
SP - 1
EP - 7
LA - fre
KW - Lp-Space; Skript Lp-Space; Complemented Subspace
UR - http://eudml.org/doc/110575
ER -

References

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  1. [1] Alspach ( D.), Enflo ( P.) and Odell ( E.). - On the structure of Lp-spaces (1 &lt; p &lt; ∞) , Studia Math., Warszawa, t. 60, 1977, p. 79-90. Zbl0343.46017
  2. [2] Bennet ( G.), Dor ( L.E.), Goodman ( V.), Johnson ( W.B.) and Newman ( C.M.). - On uncomplemented subspaces of Lp , 1 &lt; p &lt; 2 , Israel J. Math., t. 26, 1977, p. 178-187. Zbl0339.46022MR435822
  3. [3] Dor ( L.E.). - On projections on L1, Annals of Math., Series 2, t. 102, 1975, p. 463-474. Zbl0314.46027MR420244
  4. [4] Johnson ( W.B.) and Odell ( E.). - Subspaces of Lp which imbed into lp , Compositio Math., Groningen, t. 28, 1974, p. 37-49. Zbl0282.46020MR352938
  5. [5] Johnson ( W.B.), Rosenthal ( H.P.) and Zippin ( M.) . - On bases, finite dimensional decompositions and weaker structures in Banach spaces, Israel J. Math., t. 9, 1971, p. 488-506. Zbl0217.16103MR280983
  6. [6] Johnson ( W.B.) and Zippin ( M.). - On subspaces of quotients of (ΣGn) lp and (ΣGn)co , Israel J. Math., t. 13, 1972, p. 311-316. Zbl0252.46025
  7. [7] Kadec ( M.I.) and Pelczyňski ( A.). - Bases, lacunary sequences and complemented subspaces in the spaces Lp , Studia Math., Warszawa, t. 21, 1962, p. 161-176. Zbl0102.32202
  8. [8] Lewis ( D.R.) and Stégall ( C.). - Banach spaces whose duals are isomorphic to l1(Γ) , J. funct. Analysis, t. 12, 1973, p. 177-187. Zbl0252.46021
  9. [9] Lindenstrauss ( J.). - On a certain subspace of l1 , Bull. Acad. polon. Sc., Série Sc. math., astr. et phys., 3e série, t. 12, 1964, p. 539-542. Zbl0133.06604MR174963
  10. [10] Lindenstrauss ( J.). - Extension of compact operators. - Providence, American mathematical Society, 1964 (Memoirs of the American mathematical Society, 48). Zbl0141.12001MR179580
  11. [11] Lindenstrauss ( J.) and Rosenthal ( H.P.). - The Lp-spaces, Israel J. Math., t. 7, 1969, p. 325-349. Zbl0205.12602MR270119
  12. [12] Lindenstrauss ( J.) and Pelczyňski ( A.). - Absolutely summing operators in Lp-spaces and their applications, Studia Math., Warszawa, t. 29, 1967, p. 275-326. Zbl0183.40501MR231188
  13. [13] Pelczyňnski ( A.). - Projections in certain Banach spaces, Studia Math., Warszawa, t. 19, 1960, p. 209-228. Zbl0104.08503MR126145
  14. [14] Pelczyňnski ( A.) and Rosenthal ( H.P.). - Localization techniques in Lp spaces, Studia Math., Warszawa, t. 52, 1974/75, p. 263-289. Zbl0297.46023MR361729
  15. [15] Rosenthal ( H.P.). - On the subspaces of Lp (p &gt; 2) spanned by sequences of independent Random variables, Israel J. Math., t. 8, 1970, p. 273-303. Zbl0213.19303MR271721
  16. [16] Schechtman ( G.). - Examples of Lp-spaces (1 &lt; p ≠ 2 &lt; ∞) , Israel J. Math., t. 22, 1975, p. 138-147. Zbl0316.46018

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