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- W2890881423 abstract "Abstract The well-known invariant subspace property of selfadjoint relations (multi-valued operators) in Pontryagin spaces is shown to be equivalent to the factorization property of (scalar) generalized Nevanlinna functions. This connection is established by a new realization for generalized Nevanlinna functions explicitly reflecting this connection. Combining this result with the new function-theoretic proof for the factorization property of generalized Nevanlinna functions contained in Wietsma (2018) immediately yields a new proof for the invariant subspace property of selfadjoint relations in Pontryagin spaces." @default.
- W2890881423 created "2018-09-27" @default.
- W2890881423 creator A5049796534 @default.
- W2890881423 date "2019-01-01" @default.
- W2890881423 modified "2023-09-29" @default.
- W2890881423 title "The factorization of generalized Nevanlinna functions and the invariant subspace property" @default.
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- W2890881423 doi "https://doi.org/10.1016/j.indag.2018.08.002" @default.
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