On the equality of injective and projective tensor products

Hans Jarchow; Kamil John

Czechoslovak Mathematical Journal (1988)

  • Volume: 38, Issue: 3, page 464-472
  • ISSN: 0011-4642

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Jarchow, Hans, and John, Kamil. "On the equality of injective and projective tensor products." Czechoslovak Mathematical Journal 38.3 (1988): 464-472. <http://eudml.org/doc/13721>.

@article{Jarchow1988,
author = {Jarchow, Hans, John, Kamil},
journal = {Czechoslovak Mathematical Journal},
keywords = {tensor products; nuclear spaces; Grothendieck's problem; operator ideals},
language = {eng},
number = {3},
pages = {464-472},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {On the equality of injective and projective tensor products},
url = {http://eudml.org/doc/13721},
volume = {38},
year = {1988},
}

TY - JOUR
AU - Jarchow, Hans
AU - John, Kamil
TI - On the equality of injective and projective tensor products
JO - Czechoslovak Mathematical Journal
PY - 1988
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 38
IS - 3
SP - 464
EP - 472
LA - eng
KW - tensor products; nuclear spaces; Grothendieck's problem; operator ideals
UR - http://eudml.org/doc/13721
ER -

References

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  6. H. Jarchow U. Matter, Weakly compact operators on 𝒞 ( K ) -spaces, Lect. Notes in Math. 1166(1985) 80-88. (1985) MR0827762
  7. K. John, 10.1007/BFb0061564, Lect. Notes in Math. 991 (1983) 124-129. (1983) Zbl0518.46054MR0714179DOI10.1007/BFb0061564
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  9. K. John H. Junek, A tensor product characterization of nuclear spaces, Wiss. Z. Pädag. Hochsch. Potsdam 25 (1981) 785-789. (1981) MR0708262
  10. M. I. Kadec A. Pelczyński, Bases, lacunary sequences and complemented subspaces in the spaces L p , Studia Math. 21 (1962) 161-176. (1962) MR0152879
  11. H. König J. R. Retherford N. Tomczak-Jaegermann, 10.1016/0022-1236(80)90029-4, Journ. of Funct. Anal. 37 (1980) 88-126. (1980) MR0576647DOI10.1016/0022-1236(80)90029-4
  12. J. Lindenstrauss L. Tzafriri, Classical Banach Spaces I, II, Springer-Verlag, Berlin- Heidelberg-New York 1977, 1979. (1977) MR0500056
  13. A. Pelczyński, On strictly singular and strictly cosingular operators I, II, Bull. Acad. Polon. Sci. 13(1965) 31-36, 37-41. (1965) 
  14. A. Pietsch, Nuclear Locally Convex Spaces, (3rd ed.) Springer-Verlag, Berlin-Heidelberg- New York 1972. (1972) Zbl0308.47024MR0350360
  15. A. Pietsch, Operator Ideals, VEB Deutscher Verl. d. Wissensch., Berlin 1978; North-Holland, Amsterdam-Oxford-New York 1980. (1978) Zbl0405.47027MR0582655
  16. G. Pisier, Estimations des distances à un espace euclidien et des constantes de projections des espaces de Banach de dimension finie; d'après H. König et al, Séminaire d'Analyse Fonctionelle, Ecole Polytechnique Palaiseau 1978-1979, Exp. X. (1978) MR0557370
  17. G. Pisier, Un théorème sur les opérateurs entre espaces de Banach qui se factorisent par un espace de Hilbert, Annales de l'E.N.S. 13 (1980) 23-43. (1980) MR0584081
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