Skip to main content
SpringerLink
Log in

Julia operators and linear systems (nonuniqueness of linear system)

  • Published:
Korean Journal of Computational & Applied Mathematics Aims and scope Submit manuscript

Abstract

Complementation theory in Krein spaces can be extended for any self-adjoint transformation. There is a close relation between Julia operators and linear systems. The theory of Julia operators can be used to construct distinct Krein spaces which are the state spaces of extended canonical linear systems with given transfer function.

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

Similar content being viewed by others

References

  1. D. Alpay,Some remarks on reproducing kernel Krein spaces, Rocky Mountain Journal of Math.21 (1990), 1189–1205.

    Article  MathSciNet  Google Scholar 

  2. T. Ando,de Branges spaces and analytic operator functions, Lecture Notes, Division of Applied Mathematics, Research Institute of Applied Electricity, Hokkaido University, Sapporo Japan (1990), 1–84.

    MATH  Google Scholar 

  3. Gr. Arsene, Constantinescu and A. Gheondea,Lifting of operators and prescribed numbers of negative squares, Michigan J. Math.34 (1987), 201–216.

    Article  MATH  MathSciNet  Google Scholar 

  4. L. de Branges,Complementation in Krein spaces, Trans. Amer. Math. Soc.305 (1988), 277–291.

    Article  MATH  MathSciNet  Google Scholar 

  5. L. de Branges,A construction of Krein spaces of analytic functions, J. Functional Analysis98 (1991), 1–41.

    Article  MATH  Google Scholar 

  6. L. de Branges,Square summable power series, Grundlehren der mathematischen Wissenschaften, Springer-Verlag, Heidelberg, to appear.

  7. M. Dritschel,A lifting theorem for bicontractions, J. Functional Analysis89 (1990), 61–89.

    Article  MATH  MathSciNet  Google Scholar 

  8. M. Dritschel and J. Rovnyak,Extension theorems for contraction operators on Krein spaces, Oper. Th.: Adv. Apply.47 (1990), 221–305.

    MathSciNet  Google Scholar 

  9. M. Dritschel,The essential uniqueness property for operators on Krein spaces, Jour. fun. Ana.118 (1993), 198–248.

    Article  MATH  MathSciNet  Google Scholar 

  10. M. Yang,A construction of unitary linear system, Integral equa.and oper.Th.19 (1994), 477–499.

    Article  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, University of Inchon, 402 - 749, Inchon, Korea

    Mee Hyea Yang

Authors
  1. Mee Hyea Yang
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

This paper was supported by Non Directed Research Fund, Korea Research Foundation.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yang, M.H. Julia operators and linear systems (nonuniqueness of linear system). Korean J. Com. & Appl. Math. 3, 117–127 (1996). https://doi.org/10.1007/BF03008895

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF03008895

AMS Mathematics Subject Classification

Search

Navigation