Abstract
Let S be a closed symmetric operator or relation with defect numbers (1, 1). The selfadjoint extensions A(τ) of S are parametrized over τ ∈ ℝ∪{∞}. When the selfadjoint extension A(0) has a spectral gap (α, β), then the same is true for all the other selfadjoint extensions A(τ) of S with the possible exception of an isolated eigenvalue λ(τ) of A(τ). The limiting properties of this isolated eigenvalue are studied in terms of τ .
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Hassi, S., de Snoo, H., Winkler, H. (2018). Limit Properties of Eigenvalues in Spectral Gaps. In: Alpay, D., Kirstein, B. (eds) Indefinite Inner Product Spaces, Schur Analysis, and Differential Equations. Operator Theory: Advances and Applications(), vol 263. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-68849-7_13
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DOI: https://doi.org/10.1007/978-3-319-68849-7_13
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