Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Invariant subspaces of a dissipative operator and divisors of its characteristic function

  • 34 Accesses

This is a preview of subscription content, log in to check access.

Literature Cited

  1. 1.

    M. S. Brodskii, Triangular and Jordan Representations of Linear Operators [in Russian], Nauka, Moscow (1969).

  2. 2.

    Yu. L. Shmul'yan, Matem. Sb.,57, 105–136 (1962).

  3. 3.

    L. de Branges, J. Math. Anal. and Appl.,11, 44–71 (1965).

  4. 4.

    L. de Branges, J. Math. Anal. and Appl.,12, 149–186 (1965).

  5. 5.

    B. Sz.-Nagy and C. Foias, Analyse Harmonique des Operateurs de L'Espace de Hilbert, Budapest (1967).

  6. 6.

    V. M. Adamyan and D. Z. Arov, Matem. Issled.,1, No. 2, 3–64 (1966).

  7. 7.

    E. Hille and R. Phillips, Functional Analysis and Semigroups, Amer. Math. Soc. (1957).

  8. 8.

    K. Hoffman, Banach Spaces of Analytic Functions [Russian translation], IL, Moscow (1963).

  9. 9.

    L. E. Isaev, Ukrainsk. Matem. Zh.,20, No. 2, 253–257 (1968).

  10. 10.

    Ya. S. Shvartsman, Matem. Issled.,3, No. 3, 126–138 (1968).

Download references

Additional information

K. D. Ushinskii Odessa State Pedagogic Institute. Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 4, No. 4, pp. 85–86, October–December, 1970.

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Shvartsman, Y.S. Invariant subspaces of a dissipative operator and divisors of its characteristic function. Funct Anal Its Appl 4, 342–343 (1970). https://doi.org/10.1007/BF01075983

Download citation

Keywords

  • Functional Analysis
  • Characteristic Function
  • Invariant Subspace
  • Dissipative Operator