Bounded operators on tensor products of Banach lattices

N. J. Nielsen

Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1980-1981)

  • page 1-13

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Nielsen, N. J.. "Bounded operators on tensor products of Banach lattices." Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz") (1980-1981): 1-13. <http://eudml.org/doc/109247>.

@article{Nielsen1980-1981,
author = {Nielsen, N. J.},
journal = {Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")},
keywords = {Banach lattices; m-tensor product; spaces of absolutely summing operators; uniform approximation property},
language = {eng},
pages = {1-13},
publisher = {Ecole Polytechnique, Centre de Mathématiques},
title = {Bounded operators on tensor products of Banach lattices},
url = {http://eudml.org/doc/109247},
year = {1980-1981},
}

TY - JOUR
AU - Nielsen, N. J.
TI - Bounded operators on tensor products of Banach lattices
JO - Séminaire Analyse fonctionnelle (dit "Maurey-Schwartz")
PY - 1980-1981
PB - Ecole Polytechnique, Centre de Mathématiques
SP - 1
EP - 13
LA - eng
KW - Banach lattices; m-tensor product; spaces of absolutely summing operators; uniform approximation property
UR - http://eudml.org/doc/109247
ER -

References

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  1. 1 A. Grothendieck, Produits tensoriels topologiques et espaces nucleaires, Mem. AMS16 (1955). Zbl0064.35501MR75539
  2. 2 S. Heinrich, N.J. Nielsen and G. Olsen, Order bounded operators and tensor products of Banach lattices, to appear in Math. Scand. Zbl0511.47025MR645092
  3. 3 S. Kwapien, Operators factorizable through Lp-spaces, Bull. Soc. Math. France31-32 (1972), 215-225. Zbl0246.47040MR397464
  4. 4 J. Lindenstrauss and L. Tzafriri, Classical Banach spaces II, Function spaces, Ergebnisse der Mathematik und Ihrer Grenzgebiete97, Springer Verlag1979. Zbl0403.46022MR540367
  5. 5 B. Maurey and G. Pisier, Séries de variables aléatoires vectorielles indépendantes et propriétés géométriques des espaces de Banach, Studia Math.58 (1976), 45-90. Zbl0344.47014MR443015
  6. 6 N.J. Nielsen, On Banach ideals determined by Banach lattices and their applications, Dissertationes Math.CIX (1973), 1-62. Zbl0267.47027MR487385
  7. 7 N.J. Nielsen, The ideal property of tensor products of Banach lattices, to appear in Studia Math. Zbl0533.46009MR683748
  8. 8 A. Pelczynski and H.P. Rosenthal, Localization techniques in L p-spaces, Studia Math.52 (1975), 263-289. Zbl0297.46023MR361729
  9. 9 A. Persson and A. Pietsch, p-nucleäre and p-integrale Abbildungen in Banachraümen, Studia Math.33 (1969), 19-70. Zbl0189.43602MR243323
  10. 10 H.P. Rosenthal, On a theorem of J.L. Krivine concerning block finite-representability of lp in general Banach spaces, J. Funct. Anal.28 (1978), 197-225. Zbl0387.46016MR493384
  11. 11 H.H. Schaefer, Banach lattices and positive operators, Springer Verlag1974. Zbl0296.47023MR423039

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