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On Some Operator Colligations and Associated Reproducing Kernel Hilbert Spaces

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Operator Extensions, Interpolation of Functions and Related Topics

Part of the book series: Operator Theory: Advances and Applications ((OT,volume 61))

Abstract

We introduce the notion of unitary, isometric and coisometric realizations for a class of operator valued functions, and prove the existence of such realizations for a class of functions which includes as a particular case the family of Schur functions.

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© 1993 Springer Basel AG

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Alpay, D., Bolotnikov, V., Dijksma, A., de Snoo, H. (1993). On Some Operator Colligations and Associated Reproducing Kernel Hilbert Spaces. In: Gheondea, A., Timotin, D., Vasilescu, FH. (eds) Operator Extensions, Interpolation of Functions and Related Topics. Operator Theory: Advances and Applications, vol 61. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8575-1_1

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  • DOI: https://doi.org/10.1007/978-3-0348-8575-1_1

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9687-0

  • Online ISBN: 978-3-0348-8575-1

  • eBook Packages: Springer Book Archive

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