Skip to main content
Log in

Complex interpolation and regular operators between Banach lattices

  • 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.

References

  1. J. Bergh, On the relation between the two complex methods of interpolation. Indiana Univ. Math. J.28, 775–777 (1979).

    Google Scholar 

  2. J.Bergh and J.Löfström, Interpolation spaces. An introduction. Berlin-Heidelberg-New York 1976.

  3. O. Blasco andQ. Xu, Interpolation between vector valued Hardy spaces. J. Funct. Anal.102, 331–359 (1991).

    Google Scholar 

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

    Google Scholar 

  5. U. Haagerup andG. Pisier, Factorization of analytic functions with values in noncommutativeL 1 spaces and applications. Canad. J. Math.41, 882–906 (1989).

    Google Scholar 

  6. A.Hess and G.Pisier, On theK t ,-functional for the coupleB(L 1,L 1),B(L ,L in∞)). Quart. J. Math. Oxford Ser. (2). Submitted.

  7. J. L.Krivine, Théorèmes de factorisation dans les espaces de Banach réticulés. Séminaire Maurey-Schwartz 73/74, Exposé 22, Ecole Polytechnique, Paris.

  8. M.Lévy, Prolongement d'un opérateur d'un sous-espace deL 1(μ) dansL 1(υ). Séminaire d'Analyse Fonctionnelle 1979–1980. Exposé 5. Ecole Polytechnique, Palaiseau.

  9. M.Ledoux and M.Talagrand, Probability in Banach spaces. Berlin-Heidelberg-New York 1991.

  10. J.Lindenstrauss and L.Tzafriri, Classical Banach spaces II, Function spaces. Berlin-Heidelberg-New York 1979.

  11. P.Meyer-Nieberg, Banach Lattices, Berlin-Heidelberg-New York 1991.

  12. G. Pisier, Interpolation ofH p-spaces and noncommutative generalizations I. Pacific J. Math.155, 341–368 (1992).

    Google Scholar 

  13. G. Pisier, Interpolation ofH p-spaces and noncommutative generalizations II. Rev. Mat. Iberoamericana9, 281–291 (1993).

    Google Scholar 

  14. G.Pisier, The Operator Hilbert spaceOH, Complex Interpolation and Tensor Norms. To appear, in Mem. Amer. Math. Soc.

  15. G.Pisier, Factorization of linear operators and the Geometry of Banach spaces CBMS (Regional conferences of the A.M.S.) 60, (1986), Reprinted with corrections 1987.

  16. H. H.Schaefer, Banach lattices and positive operators. Berlin-Heidelberg-New York 1974.

  17. L. Weiss, Integral operators and changes of density. Indiana Univ. Math. J.31, 83–96 (1982).

    Google Scholar 

  18. Q. Xu, Notes on interpolation of Hardy spaces. Ann. Inst. Fourier (Grenoble)42, 875–889 (1992).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Supported in part by N.S.F. grant DMS 9003550.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Pisier, G. Complex interpolation and regular operators between Banach lattices. Arch. Math 62, 261–269 (1994). https://doi.org/10.1007/BF01261367

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01261367

Keywords

Navigation