Skip to main content
Log in

Nonnormal dilations, disconjugacy and constrained spectral factorization

  • Published:
Integral Equations and Operator Theory 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. Agler, J.: "Preliminary Abstract of Thesis," Indiana University (1979).

  2. Bram, J.: "Subnormal Operators,"Duke Math. J. 22 (1955), 75–94.

    Google Scholar 

  3. Cowen, M. J., and Douglas, R. G.: "Complex Geometry and Operator theory,"Acta Math. 141 (1978), 187–261.

    Google Scholar 

  4. Dixmier, J.:Les C *-algebres et Leurs Representations, Ganthier-Villars, Paris, 1969.

    Google Scholar 

  5. Dorfmeister, G., and Dorfmeister, J.: "Classification of Certain Parts of Operators (P,Q) Satisfying [P,Q] = — iId," preprint.

  6. Douglas, R. G.: "On Majorization Factorization and Range Inclusion of Operators on Hilbert Space,"Proc., Am. Math. Soc., 17 (1966), 413–415.

    Google Scholar 

  7. Dunford, N. and Schwartz, J.: "Linear Operators, Part I, Interscience, New York, 1958.

    Google Scholar 

  8. Gelfand, I. M., and Fomin, S. V.:Calculus of Variation, Fizmatgiz, Moscow (1961); English transl. Prentice-Hall, Englewood Cliffs, N. J., 1963.

    Google Scholar 

  9. Halmos, P. R.: "Spectra and Spectral Manifolds,"Ann. Soc. Polonaise Math., 25 (1952), 43–49.

    Google Scholar 

  10. Helton, J. W.: "Infinite Dimensional Jordan Operators and Sturm-Liouville Conjugate Point Theory,"Trans., Am. Math. Soc., 170 (1972), 305–331.

    Google Scholar 

  11. Helton, J. W.: "Jordan Operators in Infinite Dimensions and Sturm Liouville Conjugate Point Theory,"Bull., Am. Math. Soc., 78 (1972), 57–62.

    Google Scholar 

  12. Helton, J. W.: "Operators With a Representation as Multiplication by x on a Sobolev Space,"Colloquia Math. Soc. Janos Bolyai 5. Hilbert Space Operators, Tihany, Hungary (1970), 279–287.

    Google Scholar 

  13. Jorgensen, P. T., and Muhly, P.S.: "Selfadjoint Extensions Satisfying the Weyl Operator Commutation Relations,"J. d:Analyse Math., to appear.

  14. Kato, T.:Perturbation Theory for Linear Operators, Springer-Verlag, New York, 1966.

    Google Scholar 

  15. Morrey, C. B.:Multiple Integrals in the Calculus of Variations, Springer-Verlag, New York, 1966.

    Google Scholar 

  16. Nagy, B. Sz.-, and Foias, C.: "Harmonic Analysis of Operators on Hilbert Space,"Akad. Kiado, Budapest (1970).

  17. Reid, W. T.:Riccati Differential Equations, Academic Press, New York, 1972.

    Google Scholar 

  18. Rosenblum, M., and Rovnyak, J.: "The Factorization Problem For Nonnegative Operator Valued Functions,"Bull., Am. Math. Soc. 77 (1971), 287–318.

    Google Scholar 

  19. Sarason, D.: On Spectral Sets Having Connected Complement.Acta Sci. Math. 26 (1965), 289–299.

    Google Scholar 

  20. Wells, R. O.:Differential Analysis on Complex Manifolds. Prentice-Hall, Englewood Cliffs, N. J. 1973.

    Google Scholar 

  21. Yoshida, K.:Functional Analysis, Springer-Verlag, New York, 1965.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research on this paper was supported by NSF grant nos. MCS77-00966 and MCS77-01517.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ball, J.A., Helton, J.W. Nonnormal dilations, disconjugacy and constrained spectral factorization. Integr equ oper theory 3, 216–309 (1980). https://doi.org/10.1007/BF01682993

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01682993

Keywords

Navigation