Skip to main content
SpringerLink
Log in

Supertauberian operators and perturbations

  • 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

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. T. Alvarez andM. González, Some examples of tauberian operators. Proc. Amer. Math. Soc.111, 1023–1027 (1991).

    Google Scholar 

  2. P. G.Casazza and T. J.Shura, Tsirelson space. LNM1363, Berlin-Heidelberg-New York 1989.

  3. W. J. Davis, T. Figiel, W. B. Johnson andA. Pelczynsky, Factoring weakly compact operators. J. Funct. Anal.17, 311–327 (1974).

    Google Scholar 

  4. M. González andV. M. Onieva, Characterizations of tauberian operators and other semigroups of operators. Proc. Amer. Math. Soc.108, 399–405 (1990).

    Google Scholar 

  5. R.Harte, Invertibility and singularity for bounded linear operators. New York 1988.

  6. S. Heinrich, Ultraproducts in Banach space theory. J. Reine Angew. Math.313, 72–104 (1980).

    Google Scholar 

  7. R. B.Holmes, Geometric functional analysis and its applications. Berlin-Heidelberg-New York 1975.

  8. R. C. James, Some self-dual properties of normed linear spaces. In: Sympos. on Infinite Dimensional Topology. Ann. of Math. Stud.69, 159–175 (1972).

    Google Scholar 

  9. N. Kalton andA. Wilansky, Tauberian operators on Banach spaces. Proc. Amer. Math. Soc.57, 251–255 (1976).

    Google Scholar 

  10. R.Larsen, Functional Analysis, An introduction. New York 1973.

  11. A. Lebow andM. Schechter, Semigroups of operators and measures of noncompactness. J. Funct. Anal.7, 1–26 (1971).

    Google Scholar 

  12. R. Neidinger andH. P. Rosenthal, Norm-attainment of linear functionals on subspaces and characterizations of tauberian operators. Pacific J. Math.118, 215–228 (1985).

    Google Scholar 

  13. W. Schachermayer, For a Banach space isomorphic to its square the Krein-Milman and the Radon-Nikodym property are equivalent. Studia Math.81, 329–339 (1985).

    Google Scholar 

  14. D. G. Tacon, Generalized semi-Fredholm transformations. J. Austral. Math. Soc. Ser. A34, 60–70 (1983).

    Google Scholar 

  15. D. G. Tacon, Generalized Fredholm transformations. J. Austral. Math. Soc. Ser. A37, 89–97 (1984).

    Google Scholar 

Download references

Author information

Author notes

  1. Manuel González

    Present address: Departamento de Matemáticas Facultad de Ciencias, Universidad de Cantabria, 39071, Santander, Spain

  2. Antonio Martínez-Abejón

    Present address: Departamento de Matemáticas Facultad de Ciencias, Universidad de Oviedo, 33007, Oviedo, Spain

Authors and Affiliations

    Authors
    1. Manuel González
      View author publications

      You can also search for this author in PubMed Google Scholar

    2. Antonio Martínez-Abejón
      View author publications

      You can also search for this author in PubMed Google Scholar

    Additional information

    Supported in part by DGICYT Grant PB 91-0304 (Spain)

    Rights and permissions

    Reprints and permissions

    About this article

    Cite this article

    González, M., Martínez-Abejón, A. Supertauberian operators and perturbations. Arch. Math 64, 423–433 (1995). https://doi.org/10.1007/BF01197221

    Download citation

    • Received:

    • Issue Date:

    • DOI: https://doi.org/10.1007/BF01197221

    Search

    Navigation