Scalar generalized nevanlinna functions: realizations with block operator matrices

Matthias Langer, Annemarie Luger

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

Abstract

In this paper a concrete realization for a scalar generalized Nevanlinna function q ∈ N_k 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.
LanguageEnglish
Title of host publicationOperator theory in Krein spaces and nonlinear eigenvalue problems
EditorsKarl-Heinz Förster, Heinz Langer, Peter Jonas
Pages253-276
Number of pages25
DOIs
Publication statusPublished - 2006

Publication series

NameOperator Theory: Advances and Applications
PublisherBirkhäuser
Volume162

Fingerprint

Q-function
Operator Matrix
Block Matrix
Factorization
Scalar
Operator

Keywords

  • scalar generalized nevanlinna function
  • realization
  • block operator matrix

Cite this

Langer, M., & Luger, A. (2006). Scalar generalized nevanlinna functions: realizations with block operator matrices. In K-H. Förster, H. Langer, & P. Jonas (Eds.), Operator theory in Krein spaces and nonlinear eigenvalue problems (pp. 253-276). (Operator Theory: Advances and Applications; Vol. 162). https://doi.org/10.1007/3-7643-7453-5_14
Langer, Matthias ; Luger, Annemarie. / Scalar generalized nevanlinna functions : realizations with block operator matrices. Operator theory in Krein spaces and nonlinear eigenvalue problems. editor / Karl-Heinz Förster ; Heinz Langer ; Peter Jonas. 2006. pp. 253-276 (Operator Theory: Advances and Applications).
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Langer, M & Luger, A 2006, Scalar generalized nevanlinna functions: realizations with block operator matrices. in K-H Förster, H Langer & P Jonas (eds), Operator theory in Krein spaces and nonlinear eigenvalue problems. Operator Theory: Advances and Applications, vol. 162, pp. 253-276. https://doi.org/10.1007/3-7643-7453-5_14

Scalar generalized nevanlinna functions : realizations with block operator matrices. / Langer, Matthias; Luger, Annemarie.

Operator theory in Krein spaces and nonlinear eigenvalue problems. ed. / Karl-Heinz Förster; Heinz Langer; Peter Jonas. 2006. p. 253-276 (Operator Theory: Advances and Applications; Vol. 162).

Research output: Chapter in Book/Report/Conference proceedingChapter (peer-reviewed)

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Langer M, Luger A. Scalar generalized nevanlinna functions: realizations with block operator matrices. In Förster K-H, Langer H, Jonas P, editors, Operator theory in Krein spaces and nonlinear eigenvalue problems. 2006. p. 253-276. (Operator Theory: Advances and Applications). https://doi.org/10.1007/3-7643-7453-5_14