Selfadjoint relations in Pontryagin spaces do not possess a spectral family completely characterizing them in the way that selfadjoint relations in Hilbert spaces do. Here it is shown that a combination of a factorization of generalized Nevanlinna functions with the standard spectral family of selfadjoint relations in Hilbert spaces can function as a spectral family for selfadjoint relations in Pontryagin spaces. By this technique additive decompositions are established for generalized Nevanlinna functions and selfadjoint relations in Pontryagin spaces.
CITATION STYLE
Hassi, S., & Wietsma, H. L. (2020). Spectral decompositions of selfadjoint relations in pontryagin spaces and factorizations of generalized nevanlinna functions. In Operator Theory: Advances and Applications (Vol. 280, pp. 515–534). Springer Science and Business Media Deutschland GmbH. https://doi.org/10.1007/978-3-030-44819-6_16
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