Skip to main content
Log in

Factoring operators throughc 0

  • Published:
Mathematische Annalen Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Buchwalter, H.: Espaces localement convexes semi-faibles. IIeme Coll. Anal. Fonct. Bordeaux 1973. Pub. Dep. Math. Lyon10 (1973)

  2. Dazord, J.: Applications semi-faibles. C.R. Acad. Sci. Paris278, 261–263 (1974)

    Google Scholar 

  3. Diestel, J.: Grothendieck spaces and vector measures. In: Symposium on vector and operator valued measures and applications, pp. 97–108. New York, London: Academic Press 1973

    Google Scholar 

  4. Enflo, P.: A counterexample to the approximation property. Acta Math.130, 309–317 (1973)

    Google Scholar 

  5. Figiel, T.: Factorization of compact operators and application to the approximation problem. Studia Math.45. 191–210 (1973)

    Google Scholar 

  6. Gordon, Y., Lewis, D. R., Retherford, J. R.: Banach ideals of operators with applications. J. Funct. Analysis.14, 85–129 (1973)

    Google Scholar 

  7. Grothendieck, A.: Sur certaines classes de suites et le théorème de Dvoretzky-Rogers. Bol. Soc. Mat. São Paulo8, 83–110 (1956)

    Google Scholar 

  8. Grothendieck, A.: Sur certains sous-espaces vectoriels deL p. Canad. J. Math.6, 158–160 (1954)

    Google Scholar 

  9. Grothendieck, A.: Sur les applications linéaires faiblement compactes d'espaces du typeC(K). Canad. J. Math.5, 129–173 (1953)

    Google Scholar 

  10. Grothendieck, A.: Sur les espaces(F) et(DF). Summa Brasil3, 57–122 (1954)

    Google Scholar 

  11. Hogbe-Nlend, H.: Les espaces de Fréchet-Schwartz et la propriété d'approximation. C. R. Acad. Sci. Paris275, 1073–1075 (1972)

    Google Scholar 

  12. Hogbe-Nlend, H.: Théorie des bornologies et applications. Lecture Notes 213. Berlin, Heidelberg, New York: Springer 1971

    Google Scholar 

  13. Jarchow, H.: Die Universalität des Raumesc 0 für die Klasse der Schwartz-Räume. Math. Ann.203, 211–214 (1973)

    Google Scholar 

  14. Johnson, W.: Factoring compact operators. Israel J. Math.9, 337–345 (1971)

    Google Scholar 

  15. Johnson, W., Zippin, M.: On subspaces of quotients of (∑G n ) lp and\((\sum G_n )_{c_0 } \). Israel J. Math.13, 311–316 (1972)

    Google Scholar 

  16. Josefson, B.: Weak sequential convergence in the dual of a Banach space does not imply norm convergence (to appear)

  17. Lacey, E.: Separable quotients of Banach spaces. An. Acad. Brasil. Ciênc.44, 185–189 (1972)

    Google Scholar 

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

    Google Scholar 

  19. Lindenstrauss, J., Rosenthal, H.P.: The ℒp-spaces. Israel J. Math.7, 325–349 (1969)

    Google Scholar 

  20. Lindenstrauss, J., Tzafriri, L.: Classical Banach spaces. Lecture Notes 338. Berlin, Heidelberg, New York: Springer 1973

    Google Scholar 

  21. Nissenzweig, A.: Onw*-convergent sequences (to appear)

  22. Pelczynski, A.: Projection in certain Banach spaces. Studia Math.19, 209–228 (1960)

    Google Scholar 

  23. Pelczynski, A., Semadeni, Z.: Spaces of continuous functions. III. Studia Math.18, 211–228 (1959)

    Google Scholar 

  24. Persson, A., Pietsch, A.:p-nukleare undp-integrale Abbildungen in Banachräumen. Studia Math.33, 19–62 (1969)

    Google Scholar 

  25. Pietsch, A.: Ideals of operators on Banach spaces and nuclear locally convex spaces. In: Proceedings of the third Prague Topological Symposium, pp. 344–352. New York, London: Academic Press 1972

    Google Scholar 

  26. Pietsch, A.: Nuclear locally convex spaces. Ergebnisse der Mathematik und ihrer Grenzgebiete, Bd. 66. Berlin, Heidelberg, New York: Springer 1972

    Google Scholar 

  27. Pietsch, A.: Quasi-nukleare Abbildungen in normierten Räumen. Math. Ann.165, 76–90 (1966)

    Google Scholar 

  28. Randtke, D.J.: A simple example of a universal Schwartz space. Proc. Amer. Math. Soc.37, 185–188 (1973)

    Google Scholar 

  29. Randtke, D.J.: A structure theorem for Schwartz spaces. Math. Ann.201, 171–176 (1973)

    Google Scholar 

  30. Randtke, D.J.: Characterization of precompact maps, Schwartz spaces and nuclear spaces. Trans. Amer. Math. Soc.165, 87–101 (1972)

    Google Scholar 

  31. Randtke, D.J.: Representation theorem for compact operators. Proc. Amer. Math. Soc.37, 481–485 (1973)

    Google Scholar 

  32. Stegall, C.P., Retherford, J.R.: Fully nuclear and completely nuclear operators with applications to ℒ- and ℒ1-spaces. Trans. Amer. Math. Soc.163, 457–492 (1972)

    Google Scholar 

  33. Terzioglu, T.: A characterization of compact linear mappings. Arch. Math.22, 76–78 (1971)

    Google Scholar 

  34. Terzioglu, T.: On compact and infinite-nuclear mappings. Bull. Math. Soc. Sci. Math. Roumanie14, 93–99 (1970)

    Google Scholar 

  35. Terzioglu, T.: On Schwartz spaces. Math. Ann.182, 236–242 (1969)

    Google Scholar 

  36. Terzioglu, T.: Remarks on compact and infinite-nuclear mappings. Math. Balk.2, 251–255 (1972)

    Google Scholar 

  37. Trèves, F.: Topological vector spaces, distributions and kernels. New York, London: Academic Press 1967

    Google Scholar 

  38. Séminaire Schwartz: Produits tensoriels topologiques d'espaces vectoriels topologiques. Espaces vectoriels topologiques nucléaires. Applications. Fac. Sci. Paris 1954

Download references

Author information

Authors and Affiliations

Authors

Additional information

Part of this work was done while the author was a NATO fellow at the University of Maryland (USA).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dazord, J. Factoring operators throughc 0 . Math. Ann. 220, 105–122 (1976). https://doi.org/10.1007/BF01351695

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01351695

Navigation