Skip to main content
SpringerLink
Log in

The spectral properties of a certain class of self-adjoint operator functions

  • Published:
Functional Analysis and Its Applications Aims and scope

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

Literature Cited

  1. M. G. Krein and H. Langer, "On certain mathematical principles of the linear theory of damped oscillations of continua," Proceedings of the International Symposium on Applications of Function Theory in the Mechanics of Continuous Media, Vol. 2, Nauka, Moscow (1965), pp. 284–322.

    Google Scholar 

  2. H. Langer, "Über eine Klasse nichtlinearer Eigenvalueprobleme," Acta Scient. Math.,35, 79–93 (1973).

    Google Scholar 

  3. A. S. Markus, V. I. Matsaev, and G. I. Russu, "On certain generalizations of the theory of strongly damped pencils to the case of pencils of arbitrary order," Acta Scient. Math.,34, 245–271 (1973).

    Google Scholar 

  4. R. E. L. Turner, "A class of nonlinear eigenvalue problems," J. Funct. Anal.,2, No. 3, 297–322 (1968).

    Article  Google Scholar 

  5. A. S.Markus and G. I. Russu, "On a basis formed from the eigenvectors of a self-adjoint polynomial pencil," Matem. Issledovaniya,6, No. 1, 114–125 (1971).

    Google Scholar 

  6. A. I. Markushevich, Theory of Analytic Functions [in Russian], Vol. 1, Nauka, Moscow (1967).

    Google Scholar 

  7. I. Ts. Gokhberg and Yu. Laiterer, "General theorems on the canonical factorization of operator functions with respect to a contour," Matem. Issledovaniya7, No. 3, 87–134 (1972).

    Google Scholar 

  8. I. Ts. Gokhberg and M. G. Krein, The Theory of Volterra Operators in Hilbert Space and Its Applications [in Russian], Nauka, Moscow (1967).

    Google Scholar 

Download references

Authors
  1. A. I. Virozub
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. V. I. Matsaev
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Institute for Chemical Physics, Academy of Sciences, USSR. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 8, No. 1, pp. 1–10, January–March, 1974.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Virozub, A.I., Matsaev, V.I. The spectral properties of a certain class of self-adjoint operator functions. Funct Anal Its Appl 8, 1–9 (1974). https://doi.org/10.1007/BF02028300

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02028300

Keywords

Search

Navigation