Skip to main content
Log in

Some applications of the complex interpolation method to Banach lattices

  • Published:
Journal d’Analyse Mathématique Aims and scope

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.

References

  1. A. P. Calderón,Intermediate spaces and interpolation, the complex method, Studia Math.24 (1964), 113–190.

    MATH  MathSciNet  Google Scholar 

  2. W. B. Johnson, H. König, B. Maurey and R. Retherford,Eiqenvalues of p-summing and l p-type operators in Banach spaces, J. Functional Analysis, to appear.

  3. H. König, R. Retherford and N. Tomczak-Jaegermann,On the eigenvalues of (p, 2)-summing operators and constants associated to normed spaces, in preparation.

  4. S. Kwapień,Some remarks on (p, q)-absolutely summing operators in l p-spaces, Studia Math.29 (1968), 327–337.

    MathSciNet  Google Scholar 

  5. S. Kwapień,On operators factorizable through L p-spaces, Bull. Soc. Math. France Mémoire31–32 (1972), 215–225.

    Google Scholar 

  6. D. Lewis,Finite dimensional subspaces of L p, Studia Math.63 (1978), 207–212.

    MATH  MathSciNet  Google Scholar 

  7. D. Lewis and N. Tomczak-Jaegermann,Hilbertian and complemented finite dimensional subspaces of Banach lattices and unitary ideals, to appear.

  8. J. Lindenstrauss and L. Tzafiri,Classical Banach Spaces, Vol. II:Function Spaces, Springer Verlag, Ergebnisse Berlin-Heidelberg-New York, 1979.

    Google Scholar 

  9. B. Maurey,Un théorème de prolongement, C. R. Acad. Sci. ParisA279 (1974), 329–332.

    MathSciNet  Google Scholar 

  10. A. Pietsch,Operator Ideals, to appear.

  11. N. Tomczak-Jaegermann,Finite dimensional subspaces of uniformly convex and uniformly smooth Banach lattices and trace class S p, Studia Math., to appear.

  12. H. Triebel,Zur Interpolation von Normideal in Hilbertraümen, Wiss. Z. Univ. Jena. Math. Natur. Reihe18 (1969), 263–267.

    MATH  MathSciNet  Google Scholar 

  13. H. Weyl,Inequalities between the two kinds of eigenvalues of a linear transformation, Proc. Nat. Acad. Sci. U.S.A.35, (1949), 408–411.

    Article  MATH  MathSciNet  Google Scholar 

  14. B. Maurey,Théorèmes de factorization pour les opérateurs linéaires à valeurs dans un espace L p, Astérisque no 11, Société Mathématique de France, 1974.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pisier, G. Some applications of the complex interpolation method to Banach lattices. J. Anal. Math. 35, 264–281 (1979). https://doi.org/10.1007/BF02791068

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02791068

Keywords

Navigation