Skip to main content
Log in

On tuples of commuting symmetric, non-selfadjoint operators

  • Published:
Integral Equations and Operator Theory Aims and scope Submit manuscript

Abstract

Generalizing the Cowen-Douglas-Theory to certain tuples of unbounded symmetric operators we obtain canonical models for such tuples, which are realized in holomorphic functional Hilbert spaces. The results are applied to multidimensional moment problems.

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.

Institutional subscriptions

Similar content being viewed by others

References

  1. Achieser, N.I., Glasmann, I.M.: Theorie der linearen Operatoren im Hilbertraum, Akademie-Verlag, Berlin 1977.

    Google Scholar 

  2. Aronzajn, N.: The theory of reproducing kernels, Trans. Amer. Math. Soc.68(1950), 337–404.

    Google Scholar 

  3. Berg, Ch., Christensen, J.P.R., Ressel, P.: Harmonic analysis on semigroups, Springer-Verlag, Berlin 1984.

    Google Scholar 

  4. Cowen, M., Douglas, R.: Complex geometry and operator theory, Acta Math.141(1978), 187–261.

    Google Scholar 

  5. Cowen, M., Douglas, R.: Operators possessing an open set of eigenvalues, in: Functions, series, operators, vol. I, Colloq. Math. Soc. Janos Bolyai,35, North-Holland, Amsterdam-New York 1983.

    Google Scholar 

  6. Curto, R.E., Salinas, N.: Generalized Bergman kernels and Cowen-Douglas Theory, Amer. J. Math.106(1984), 447–488.

    Google Scholar 

  7. Curto, R.E., Salinas, N.: Spectral properties of cyclic subnormal m-tuples, Amer. J. Math.107(1985), 113–138.

    Google Scholar 

  8. Friedrich, J.: A note on the two-dimensional moment problem, Math. Nachr.121(1985), 285–286.

    Google Scholar 

  9. Friedrich, J.: Operator moment problems, submitted to Math. Nachr.

  10. Fuglede, B.: The multidimensional moment problem, Expo. Math.1(1983), 47–65.

    Google Scholar 

  11. Kato, T.: Perturbation theory for linear operators, Springer-Verlag, Berlin-New York 1966.

    Google Scholar 

  12. Schmüdgen, K.: Unbounded operator algebras and representations, Akademie-Verlag, Berlin (to appear).

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Friedrich, J. On tuples of commuting symmetric, non-selfadjoint operators. Integr equ oper theory 13, 553–575 (1990). https://doi.org/10.1007/BF01210401

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01210401

Keywords

Navigation