Skip to main content
Log in

Quelques Caractériserions Opératorielles des ℒ p -Espaces

  • Published:
Archiv der Mathematik 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.

Bibliographie

  1. J. S. Cohen, Absolutelyp-summing,p-nuclear operators and their conjugates. Math. Ann.201, 177–200 (1973).

    Google Scholar 

  2. N.Dunford and J.Schwartz, Linear operators, Part I. General theory. New York 1958.

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

  4. J. L. Kelley, Banach spaces with the extension property. Trans. Amer. Math. Soc.72, 323–326 (1952).

    Google Scholar 

  5. D. R. Lewis andC. Stegall, Banach spaces whose duals are isomorphic to l1(Γ). J. Functional Analysis12, 177–187 (1973).

    Google Scholar 

  6. J.Lindenstrauss, Extension of compact operators. Mem. Amer. Math. Soc.48 (1964).

  7. J. Lindenstrauss andA. Pelczynski, Absolutely summing operators in ℒ p -spaces and their applications. Studia Math.29, 275–326 (1968).

    Google Scholar 

  8. J. Lindenstrauss andH. P. Rosenthal, The ℒ p -spaces. Israel J. Math.7, 325–349 (1969).

    Google Scholar 

  9. J.Lindenstrauss and L.Tzafriri, Classical Banach spaces. Lecture Notes Math.338, Berlin 1973.

  10. L. Nachbin, A theorem of the Hahn-Banach type for linear transformations. Trans. Amer. Math. Soc.68, 28–46 (1950).

    Google Scholar 

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

    Google Scholar 

  12. T. Terzioglu, Remarks on compact and infinite nuclear mapping. Math. Balkanika2, 251–256 (1972).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Ce travail a été préparé pendant que l'auteur était boursier de la Fondation d'Alexander von Humboldt.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Popa, N. Quelques Caractériserions Opératorielles des ℒ p -Espaces. Arch. Math 27, 52–57 (1976). https://doi.org/10.1007/BF01224641

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01224641

Navigation