Skip to main content
SpringerLink
Log in

On the tensor stability ofs-number ideals

  • 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

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

References

  1. Bergh, J., Löfström, J.: Interpolation spaces. Berlin, Heidelberg, New York: Springer 1976

    Google Scholar 

  2. Carl, B.: Inequalities between geometric quantities of operators in Banach spaces. Int. Equ. Oper. Th.5, 759–773 (1982)

    Google Scholar 

  3. Holub, J.R.: Tensor product mappings. II. Proc. Am. Math. Soc.42, 437–441 (1974)

    Google Scholar 

  4. Karadĉov, G.E.: The interpolation method of “means” for quasinormed spaces. Doklady Acad. Nauk SSSR209, 33–36 (1973)

    Google Scholar 

  5. Kashin, B.S.: Diameters of some finite dimensional sets and of some classes of smooth functions. Izv. Akad. Nauk SSSR41, 334–351 (1977)

    Google Scholar 

  6. Lapresté, J.T.: Opérateurs sommants et factorizations à travers les espacesL p. Studia Math.57, 47–83 (1976)

    Google Scholar 

  7. Lindenstrauss, J., Tzafriri, L.: Classical Banach Spaces. I. Ergebnisse der Mathematik, Bd. 92. Berlin, Heidelberg, New York 1977

  8. Mityagin, B.S.: Random matrices and subspaces. In: Geometry of linear spaces and operator theory. Jaroslavl, 157–202 (1977)

  9. Peetre, J., Sparr, G.: Interpolation of normed abelian groups. Ann. Mat. Pura Appl.42, 217–262 (1972)

    Google Scholar 

  10. Pietsch, A.: Operator Ideals. Berlin, 1978

  11. Pietsch, A.: Tensor products of sequences, functions, and operators. Arch. Math.38, 335–344 (1982)

    Google Scholar 

  12. Pietsch, A.: Factorization theorems for some scales of operator ideals. Math. Nachr.97, 15–19 (1980)

    Google Scholar 

  13. Pietsch, A.: Weyl numbers and eigenvalues of operators in Banach spaces. Math. Ann.247, 149–168 (1980)

    Google Scholar 

  14. Pietsch, A.: Eigenvalues of absolutelyr-summing operators, preprint, Jena, 1983

  15. Pisier, G.: Un théorème sur les opérateurs linéaires entres espaces de Banach qui se factorisent par un espace de Hilbert. Ann. Sci. Ecole Norm. Sup.13, 23–43 (1980)

    Google Scholar 

  16. Saphar, P.: Applications à puissance nucléaires et applications de Hilbert-Schmidt. Ann. Sci. Ecole Norm. Sup.83, 113–151 (1966)

    Google Scholar 

  17. Schütt, C.: On the volume of unit balls in Banach spaces. Composito Math.47, 393–407 (1982)

    Google Scholar 

  18. Simon, B.: Trace ideals and their applications. Cambridge, 1979

Download references

Author information

Authors and Affiliations

  1. Mathematisches Seminar der universität, D-2300, Kiel 1, Germany

    Hermann König

Authors
  1. Hermann König
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

König, H. On the tensor stability ofs-number ideals. Math. Ann. 269, 77–93 (1984). https://doi.org/10.1007/BF01455997

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01455997

Search

Navigation