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- W246540981 abstract "When the singular finite rank perturbations of an unbounded selfadjoint operator Ao in a Hilbert space c, formally defined by A(α) = A 0 + GαG*, are lifted to an exit Pontryagin space ℌ by means of an operator model, they become ordinary range perturbations of a self-adjoint operator H ∞ in ℌ ⊃ ℌ0:H T = H ∞-ΩT -1Ω*. Here G is a mapping from ℂ d into some scale space ℌ (A 0), ℕ, of generalized elements associated with A 0, while Ω is a mapping from into ℂ d the extended space ℌ, where H T , is defined. The connection between these two perturbation formulas is studied." @default.
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- W246540981 date "2004-01-01" @default.
- W246540981 modified "2023-09-26" @default.
- W246540981 title "Singular Perturbations as Range Perturbations in a Pontryagin Space" @default.
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- W246540981 doi "https://doi.org/10.1007/978-3-0348-7947-7_4" @default.
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