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The problem of topologies of grothendieck for quojections

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References

  1. F. Bastin, Weighted spaces of continuous functions, Bull. Soc. Roy. Sci. Liège, 59 (1990), 1–81.

    MATH  Google Scholar 

  2. G. Bennet, L.E. Dor, V. Goodman, W.B. Johnson, C. M. Newmann, On uncomplemented subspaces of L, 1p 2, Israel J. Math. 26 (1977), 178–187.

    Article  MathSciNet  Google Scholar 

  3. K.D. Bierstedt, J. Bonet, Dual density condition in (DF)-spaces, II, Bull. Soc. Roy. Sci. Liège, 57 (1988) 567–589.

    MathSciNet  MATH  Google Scholar 

  4. K.D. Biertedt, R. Meise, W. Summers, Köthe sets and Köthe sequence spaces, pp. 27-91 in: Functional Analysis, Holomorphy and Approximation Theory, North-Holland, Math. Studies 71, 1982.

  5. J. Bonet, S. Dierolf, On (LB)-spaces of Moscatelli type, DOGA Tr. Math. J. 13,1 (1989), 933.

    MathSciNet  Google Scholar 

  6. J. Bonet, S. Dierolf, Fréchet spaces of Moscatelli type, Rev. Matem. Univ. Complutense Madrid, 2, no suplementario (1989) 59–75.

    MathSciNet  MATH  Google Scholar 

  7. J. Bonet, J.C. Diaz, The problem of topologies of Grothendieck and the class of Fréchet T-spaces, Math. Nachr. (to appear).

  8. J. Bonet, J.Taskinen, Quojections and the problem of topologies of Grothendieck, Note di Maternatica (Köthe memorial voume) to appear.

  9. J. Bonet, A. Defant, A. Galbis, Tensor product of Fréchet or (DF)-spaces with a Banach space, J. Math. Anal, and Appl. (to appear).

  10. J. Bonet, J.C. Diaz, J. Taskinen, Tensor stability of Fréchet and (DF)-spaces,preprint, 1990.

    Google Scholar 

  11. P. Domanski, Twisted spaces of continuous functions, preprint, 1989.

    Google Scholar 

  12. A. Grothendieck, Produits tensoriels topologiques et espaces nucléaires, Mem. Amer. Math. Soc. 16, 1955.

  13. G. Köthe, Topological Vector Spaces I, II,Springer Berlin, Heidelberg, New York, 1969, 1979.

    Google Scholar 

  14. J. Lindenstrauss, A. Pelczynski, Absolutely summing operators in Lp -spaces and their applications, Studia Math. 29 (1968), 275–326.

    MathSciNet  MATH  Google Scholar 

  15. G. Metafune. V.B. Moscatelli, Quojections and Prequojections, pp. 235–254 in Advances in the Theory of Fréchet spaces, K uwer Academic Publishers, 1989.

    Chapter  Google Scholar 

  16. G. Metafune, V.B. Moscatelli, On twisted Fréchet and (LB)-spaces, Proc. Amer. Math. Soc. 108,1 (1990), 145–150.

    MathSciNet  MATH  Google Scholar 

  17. V.B. Moscatelli, Fréchet spaces without continuous norms and without bases, Bull. London Math. Soc. 12 (1980), 63–66.

    Article  MathSciNet  MATH  Google Scholar 

  18. J. Taskinen, Counterexamples to “problème des topologies” of Grothendieck, Ann. Acad. Sci. Fenn., Ser. A I Math. Dissertationes 63 (1986).

  19. J. Taskinen, The projective tensor product of Fréchet Montel spaces, Studia Math. 91 (1988) 17–30.

    MathSciNet  MATH  Google Scholar 

  20. J. Taskinen, (FBa)- and (FBB)-spaces, Math. Z. 198 (1988) 339–365.

    Article  MathSciNet  MATH  Google Scholar 

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Diaz, J.C., Metafune, G. The problem of topologies of grothendieck for quojections. Results. Math. 21, 299–312 (1992). https://doi.org/10.1007/BF03323087

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