Skip to main content
Log in

Spectral analysis using ascent, descent, nullity and defect

  • 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

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

Instant access to the full article PDF.

References

  1. Caradus, S. R.: Contributions to the theory of operators with meromorphic resolvents. Doctoral dissertation, University of California, Los Angeles, January, 1965.

    Google Scholar 

  2. —— Operators of Riesz type. Pacific J. Math.18, 61–71 (1966).

    Google Scholar 

  3. —— Operators with finite ascent and descent. Pacific J. Math.18, 437–449 (1966).

    Google Scholar 

  4. —— On meromorphic operators, I. Canad. J. Math.19, 723–736 (1967).

    Google Scholar 

  5. Derr, J., Taylor, A. E.: Operators of meromorphic type with multiple poles of the resolvent. Pacific J. Math.12, 85–111 (1962).

    Google Scholar 

  6. Gohberg, I. C., Krein, M. G.: The basic propositions on defect numbers, root numbers, and indices of linear operators. Amer. Math. Soc. Translations, Series 2,13, 185–264 (1960). (The original paper, in Russian, appeared in Uspekhi Math. Nauk (N. S.)12, no. 2 (74), 43–118 (1957).

    Google Scholar 

  7. Goldberg, S.: Unbounded linear operators: theory and applications. New York: McGraw-Hill 1966.

    Google Scholar 

  8. Kaashoek, M. A.: Ascent, descent, nullity and defect, a note on a paper by A. E. Taylor. Math. Ann.172, 105–115 (1967).

    Google Scholar 

  9. —— On the Riesz set of a linear operator. Proc. Acad. Sci. Amsterdam A71, 46–53 (1968).

    Google Scholar 

  10. Kaashoek, M. A., Lay, D. C.: On operators whose Fredholm set is the complex plane. Pacific J. Math.21, 275–278 (1967).

    Google Scholar 

  11. Kato, T.: Perturbation theory for nullity, deficiency, and other quantities of linear operators. J. d'Analyse Math.11, 261–322 (1958).

    Google Scholar 

  12. Lay, D. C.: Studies in spectral theory using ascent, descent, nullity and defect. Doctoral dissertation, University of California, Los Angeles, January, 1966.

    Google Scholar 

  13. Ruston, A. F.: Operators with a Fredholm theory. J. London Math. Soc.29, 318–326 (1954).

    Google Scholar 

  14. Schechter, M.: On the essential spectrum of an arbitrary operator. J. Math. Anal. Appl.13, 205–215 (1966).

    Google Scholar 

  15. Taylor, A. E.: Introduction to functional analysis. New York: Wiley and Sons 1958.

    Google Scholar 

  16. —— Mittag-Leffler expansions and spectral theory. Pacific J. Math.10, 1049–1066 (1960).

    Google Scholar 

  17. —— Theorems on ascent, descent, nullity and defect of linear operators. Math. Ann.163, 18–49 (1966).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lay, D.C. Spectral analysis using ascent, descent, nullity and defect. Math. Ann. 184, 197–214 (1970). https://doi.org/10.1007/BF01351564

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01351564

Keywords

Navigation