Abstract
This is the first of three papers, devoted to a generalization of the Kreĭn-Langer formula for the generalized resolvents of an isometric relation in a Pontryagin space and to its application to the Nehari-Takagi problem. This paper contains some useful results about isometric and unitary relations in Pontryagin spaces. We define open and closed linear conservative scattering dynamical systems with a Pontryagin state space and describe the embedding of an open system into a closed system.
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References
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Nitz, O. (2000). Generalized Resolvents of Isometric Linear Relations in Pontryagin Spaces, I: Foundations. In: Adamyan, V.M., et al. Operator Theory and Related Topics. Operator Theory: Advances and Applications, vol 118. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8413-6_16
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DOI: https://doi.org/10.1007/978-3-0348-8413-6_16
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