Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs définis sur certains espaces d'opérateurs

Bruno Decoret

Publications du Département de mathématiques (Lyon) (1978)

  • Volume: 15, Issue: 3, page 1-29
  • ISSN: 0076-1656

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Decoret, Bruno. "Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs définis sur certains espaces d'opérateurs." Publications du Département de mathématiques (Lyon) 15.3 (1978): 1-29. <http://eudml.org/doc/274256>.

@article{Decoret1978,
author = {Decoret, Bruno},
journal = {Publications du Département de mathématiques (Lyon)},
keywords = {decomposition sequence; unconditional basis; super reflexivity; compact operator; Calkin algebra; kernel},
language = {fre},
number = {3},
pages = {1-29},
publisher = {Université Claude Bernard - Lyon 1},
title = {Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs définis sur certains espaces d'opérateurs},
url = {http://eudml.org/doc/274256},
volume = {15},
year = {1978},
}

TY - JOUR
AU - Decoret, Bruno
TI - Suites de décomposition d'un espace de Banach à base inconditionnelle. Noyaux d'opérateurs définis sur certains espaces d'opérateurs
JO - Publications du Département de mathématiques (Lyon)
PY - 1978
PB - Université Claude Bernard - Lyon 1
VL - 15
IS - 3
SP - 1
EP - 29
LA - fre
KW - decomposition sequence; unconditional basis; super reflexivity; compact operator; Calkin algebra; kernel
UR - http://eudml.org/doc/274256
ER -

References

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  1. [1] J. Diestel, Geometry of Banach spaces. Lectures Notes. Springer Verlag. Zbl0307.46009
  2. [2] P. Enflo, Banach spaces which can be given an equivalent uniform convexe norm. Israël Journ.13 (1972) p. 281.288. Zbl0259.46012MR336297
  3. [3] H. Fakhoury, Etude du noyau d'un opérateur défini sur l'espace des suites bornées et applications. Bull. sc. math.2° série 100 (1976) p. 44-45. Zbl0361.46014MR433196
  4. [4] W.B. Johnson, On finite dimensional subspaces of Banach spaces with local inconditional structures. Studia Mathematica L.I. (1974). Zbl1012.46012MR358306
  5. [5] R.C. James, Bases and Reflexivity on Banach spaces. Pac J. Math.41 (1972). p. 409-419. Zbl0218.46011
  6. [6] M.A. Krasnoleskii and Y. Rutickii : Convex fonctions and Orlicz spaces. Groningen. Netherlands (1961). 
  7. [7] J. Lidenstrauss, On complemented subspaces of m. Israël J. of Math.5 (1967) p. 153-156. Zbl0153.44202MR222616
  8. [8] J. Lidenstrauss and L. Tzafriri, On orlicz sequence spaces I, Israël ; J. Of Math.10 (1971), p. 379-390 Zbl0227.46042MR313780
  9. J. Lidenstrauss and L. Tzafriri, On orlicz sequence spaces II, Israël ; J. Of Math.. 11 (1972) p. 355-379. Zbl0237.46034MR310592
  10. J. Lidenstrauss and L. Tzafriri, On orlicz sequence spaces III, Israël ; J. Of Math.. 14 (1973) p. 368-389. Zbl0262.46031MR322476
  11. [9] J. Lidenstrauss and L. Tzafriri : Classical Banach spaces. Lectures notes en math.Springer Verlag. Zbl0259.46011
  12. [10] J. Marti, Introduction to theory of bases. Springer tracts, VoL. 18 (1969). Zbl0191.41301MR438075
  13. [11] R.C. James and J. Schaffer, Super-reflexivity and the girth or spheres. Israël Journal of math, 11 (1972). Zbl0236.46017MR305045
  14. [12] H.R. Pitt, A note on bilinear forms. J. Lond. Math. Soc.11 (1936) P. 171-174. Zbl0014.31201MR1574344
  15. [13] H.P. Rosenthal, On quasi complemented subspaces of Banach spaces. Journal of Functional analysis, 4 (1969) p. 176-214. Zbl0185.20303MR250036
  16. [14] H.P. Rosenthal, On totaly incomparable Banach spaces. Journal of Functional analysis, 4 (1969) p. 167-175. Zbl0184.15004MR248506
  17. [15] I. Singer, Bases in Banach spacesSpringer Verlag1970. Zbl0467.46020MR298399

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