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Scalar Generalized Nevanlinna Functions: Realizations with Block Operator Matrices

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Book cover Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 162))

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Abstract

In this paper a concrete realization for a scalar generalized Nevanlinna function q ∈ Nk is given using the realizations of the factors in the basic factorization of q. Some cases are discussed in more detail and the representing operators are given as block operator matrices.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, University of Strathclyde, 26 Richmond Street, Glasgow, G1 1XH, UK

    Matthias Langer

  2. Institute for Analysis and Scientific Computing, Vienna University of Technology, Wiedner Hauptstraße 8/101, A-1040, Wien, Austria

    Annemarie Luger

Authors
  1. Matthias Langer
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  2. Annemarie Luger
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Editor information

Editors and Affiliations

  1. Institut für Mathematik, Technische Universität Berlin, D-10623, Berlin, Germany

    Karl-Heinz Förster  & Peter Jonas  & 

  2. Institut für Analysis und Scientific Computing, Technische Universität Wien, A-1040, Wien, Austria

    Heinz Langer

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© 2005 Birkhäuser Verlag Basel/Switzerland

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Langer, M., Luger, A. (2005). Scalar Generalized Nevanlinna Functions: Realizations with Block Operator Matrices. In: Förster, KH., Jonas, P., Langer, H. (eds) Operator Theory in Krein Spaces and Nonlinear Eigenvalue Problems. Operator Theory: Advances and Applications, vol 162. Birkhäuser Basel. https://doi.org/10.1007/3-7643-7453-5_14

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